Least Common Multiple of 864, 106

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 864, 106 i.e. 45792 smallest integer divisible by all numbers.

Least common multiple (LCM) of 864, 106 is 45792.

LCM(864, 106) = 45792

LCM of 864, 106

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

LCM of:

Least Common Multiple of 864,106

Least Common Multiple (LCM) of 864,106 is 45792

2 864, 106
432, 53

∴ So the LCM of the given numbers is 2 x 432 x 53 = 45792

Least Common Multiple of 864,106 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 864,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,106) = 2

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

GCF(864,106) x common factors =2 x 1 = 2

LCM(864,106) = ( 864 × 106 ) / 2

LCM(864,106) = 91584 / 2

LCM(864,106) = 45792

∴ Least Common Multiple of 864,106 is 45792

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 864, 106

1. What is the LCM of 864, 106?

Answer: LCM of 864, 106 is 45792.

2. What are the Factors of 45792?

Answer: Factors of 45792 are . There are integers that are factors of 45792

3. How to Find the LCM of 864, 106 ?

Least Common Multiple of 864, 106.

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(864, 106) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 53 = 45792.