Least Common Multiple of 5972, 9456

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 5972, 9456 i.e. 14117808 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5972, 9456 is 14117808.

LCM(5972, 9456) = 14117808

LCM of 5972, 9456

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

LCM of:

Least Common Multiple of 5972,9456

Least Common Multiple (LCM) of 5972,9456 is 14117808

2 5972, 9456
2 2986, 4728
1493, 2364

∴ So the LCM of the given numbers is 2 x 2 x 1493 x 2364 = 14117808

Least Common Multiple of 5972,9456 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 5972,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5972,9456) = 4

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

GCF(5972,9456) x common factors =4 x 1 = 4

LCM(5972,9456) = ( 5972 × 9456 ) / 4

LCM(5972,9456) = 56471232 / 4

LCM(5972,9456) = 14117808

∴ Least Common Multiple of 5972,9456 is 14117808

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 5972, 9456

1. What is the LCM of 5972, 9456?

Answer: LCM of 5972, 9456 is 14117808.

2. What are the Factors of 14117808?

Answer: Factors of 14117808 are . There are integers that are factors of 14117808

3. How to Find the LCM of 5972, 9456 ?

Least Common Multiple of 5972, 9456.

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(5972, 9456) = 2 x 2 x 2 x 2 x 3 x 197 x 1493 = 14117808.