# Examples to find Least Common Multiple by using Prime Factorization Method

This topic would provide various examples on finding the least common multiple using the method of prime factorization.

Here are few examples illustrated on finding the least common multiple using the prime factorization method.

1. Find the least common multiple (L.C.M) of 105 and 124 by prime factorization method

The factors of 105 = 5 × 3 × 7

The factors of 124 = 2 × 2 × 31 = 22 × 31

The prime factors are 2, 3, 5, 7 and 31

The highest power of 2 is 22

The highest power of 3 is 3

The highest power of 5 is 5

The highest power of 7 is 7

The highest power of 31 is 31

The least common multiple of 105 and 124 is 22  × 5 × 3 × 7 × 31 = 13020

2. Find the least common multiple (L.C.M) of 18 and 30 by prime factorization method

The factors of 18 are: 2 × 3 × 3 = 2 × 32

The factors of 30 are: 2 × 3 × 5

The prime factors are 2, 3, and 5

The highest power of 2 is 2

The highest power of 3 is 32

The highest power of 5 is 5

The least common multiple of 18 and 30 is 2 × 32 × 5 = 2 × 3 × 3 × 5 = 90

3. Find the least common multiple (L.C.M) of 180 and 220 by prime factorization method

The factors of 180 are: 2 × 2 × 3 × 3 × 5 = 22 × 32 × 5

The factors of 220 are: 2 × 2 × 5 × 11 =  22 × 5 × 11

The prime factors are 2, 3, and 5

The highest power of 2 is 22

The highest power of 3 is 32

The highest power of 5 is 5

The highest power of 11 is 11

The least common multiple of 180 and 220 is 22 × 32 ×5 × 11= 2 × 2 × 3 × 3 × 5 × 11 = 1980

4. Find the least common multiple (L.C.M) of 360 and 520 by prime factorization method:

The factors of 360 are: 2 × 2 × 2 × 3 × 3 × 5 = 23 × 32 × 5

The factors of 520 are: 2 × 2 × 2 × 5 × 13 =  23 × 5 × 13

The prime factors are 2, 3, 5 and 13

The highest power of 2 is 23

The highest power of 3 is 32

The highest power of 5 is 5

The highest power of 13 is 13

The least common multiple of 360 and 520 is 23 × 32 × 5 × 13 = 2 × 2 × 2 × 3 × 3 × 5 × 13 = 4680

5. Find the least common multiple (L.C.M) of 44 and 88 by prime factorization method:

The factors of 44 are: 2 × 2 × 11 = 22 × 11

The factors of 88 are: 2 × 2 × 2 × 11 = 23 × 11

The prime factors are 2 and 11

The highest power of 2 is 23

The highest power of 11 is 11

The least common multiple of 44 and 88 is 23 × 11 = 2 × 2 × 2 × 11 = 88.

## You might like these

• ### Worksheet on Divisibility Rules | Questions on Test of Divisibility

This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110

• ### Problems on Divisibility Rules | Rules to Test of Divisibility | Test

Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is

From Examples to find Least Common Multiple by using Prime Factorization Method to HOME PAGE

## Recent Articles

1. ### Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process

Feb 18, 24 01:56 PM

The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic…

2. ### Electron Transport System and Oxidative Phosphorylation | ETC |Diagram

Feb 04, 24 01:57 PM

It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains…

3. ### Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram

Jan 28, 24 12:39 PM

This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c…

4. ### Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis

Dec 15, 23 08:42 AM

This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo…