LCM by Prime Factorization Method calculator

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Home > Pre-Algebra calculators > LCM by Prime Factorization Method calculator

HCF-LCM Word Problems

Method and examples

Method

Find LCM of 60,80 using Prime Factorization Method

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SolutionHelp

LCM by Prime Factorization Method calculator

1. Find LCM of 30,40 using Prime Factorization Method

Solution:
Step-1: Prime factorization of

$30,40$ using factor by division method

2	30
3	15
5	5
	1

2	40
2	20
2	10
5	5
	1

Step-2: Write each number as a product of primes, matching primes vertically when possible

30	=	2			× 3	× 5
40	=	2	× 2	× 2		× 5

Step-3: Bring down the primes in each column. The LCM is the product of these factors

30	=	2			× 3	× 5
40	=	2	× 2	× 2		× 5

LCM	=	2	× 2	× 2	× 3	× 5	= 120

$:.$ LCM of

$30,40$ is

$120$