Least Common Multiple of 4614, 6096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 4614, 6096 i.e. 4687824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4614, 6096 is 4687824.

LCM(4614, 6096) = 4687824

LCM of 4614, 6096

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 4614,6096

Least Common Multiple (LCM) of 4614,6096 is 4687824

2 4614, 6096
3 2307, 3048
769, 1016

∴ So the LCM of the given numbers is 2 x 3 x 769 x 1016 = 4687824

Least Common Multiple of 4614,6096 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4614,6096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4614,6096) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(4614,6096) x common factors =6 x 1 = 6

LCM(4614,6096) = ( 4614 × 6096 ) / 6

LCM(4614,6096) = 28126944 / 6

LCM(4614,6096) = 4687824

∴ Least Common Multiple of 4614,6096 is 4687824

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 4614, 6096

1. What is the LCM of 4614, 6096?

Answer: LCM of 4614, 6096 is 4687824.

2. What are the Factors of 4687824?

Answer: Factors of 4687824 are . There are integers that are factors of 4687824

3. How to Find the LCM of 4614, 6096 ?

Least Common Multiple of 4614, 6096.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(4614, 6096) = 2 x 2 x 2 x 2 x 3 x 127 x 769 = 4687824.