Least Common Multiple of 966, 5382

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 966, 5382 i.e. 37674 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 5382 is 37674.

LCM(966, 5382) = 37674

LCM of 966, 5382

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

LCM of:

Least Common Multiple of 966,5382

Least Common Multiple (LCM) of 966,5382 is 37674

2 966, 5382
3 483, 2691
23 161, 897
7, 39

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 39 = 37674

Least Common Multiple of 966,5382 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 966,5382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,5382) = 138

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

GCF(966,5382) x common factors =138 x 1 = 138

LCM(966,5382) = ( 966 × 5382 ) / 138

LCM(966,5382) = 5199012 / 138

LCM(966,5382) = 37674

∴ Least Common Multiple of 966,5382 is 37674

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 966, 5382

1. What is the LCM of 966, 5382?

Answer: LCM of 966, 5382 is 37674.

2. What are the Factors of 37674?

Answer: Factors of 37674 are . There are integers that are factors of 37674

3. How to Find the LCM of 966, 5382 ?

Least Common Multiple of 966, 5382.

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(966, 5382) = 2 x 3 x 3 x 7 x 13 x 23 = 37674.