Least Common Multiple of 128, 972

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 128, 972 i.e. 31104 smallest integer divisible by all numbers.

Least common multiple (LCM) of 128, 972 is 31104.

LCM(128, 972) = 31104

LCM of 128, 972

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

LCM of:

Least Common Multiple of 128,972

Least Common Multiple (LCM) of 128,972 is 31104

2 128, 972
2 64, 486
32, 243

∴ So the LCM of the given numbers is 2 x 2 x 32 x 243 = 31104

Least Common Multiple of 128,972 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 128,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,972) = 4

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

GCF(128,972) x common factors =4 x 1 = 4

LCM(128,972) = ( 128 × 972 ) / 4

LCM(128,972) = 124416 / 4

LCM(128,972) = 31104

∴ Least Common Multiple of 128,972 is 31104

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 128, 972

1. What is the LCM of 128, 972?

Answer: LCM of 128, 972 is 31104.

2. What are the Factors of 31104?

Answer: Factors of 31104 are . There are integers that are factors of 31104

3. How to Find the LCM of 128, 972 ?

Least Common Multiple of 128, 972.

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(128, 972) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 = 31104.