Least Common Multiple of 2544, 5952

Q: How to Find the LCM of 2544, 5952 ?

Least Common Multiple of 2544, 5952 = 315456 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(2544, 5952) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 53 = 315456.

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 2544, 5952 i.e. 315456 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2544, 5952 is 315456.

LCM(2544, 5952) = 315456

LCM of 2544, 5952

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

Least Common Multiple of 2544, 5952 by common division method
Least Common Multiple of 2544, 5952 with GCF Formula

Least Common Multiple of 2544,5952

Least Common Multiple (LCM) of 2544,5952 is 315456

2	2544, 5952
2	1272, 2976
2	636, 1488
2	318, 744
3	159, 372
	53, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 53 x 124 = 315456

Least Common Multiple of 2544,5952 with GCF Formula

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

We need to calculate greatest common factor of 2544,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2544,5952) = 48

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

GCF(2544,5952) x common factors =48 x 1 = 48

LCM(2544,5952) = ( 2544 × 5952 ) / 48

LCM(2544,5952) = 15141888 / 48

LCM(2544,5952) = 315456

∴ Least Common Multiple of 2544,5952 is 315456

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 2544, 5952

1. What is the LCM of 2544, 5952?

Answer: LCM of 2544, 5952 is 315456.

2. What are the Factors of 315456?

Answer: Factors of 315456 are . There are integers that are factors of 315456

3. How to Find the LCM of 2544, 5952 ?

Least Common Multiple of 2544, 5952.

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(2544, 5952) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 53 = 315456.