Least Common Multiple of 312, 1864

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 312, 1864 i.e. 72696 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 1864 is 72696.

LCM(312, 1864) = 72696

LCM of 312, 1864

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

LCM of:

Least Common Multiple of 312,1864

Least Common Multiple (LCM) of 312,1864 is 72696

2 312, 1864
2 156, 932
2 78, 466
39, 233

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 233 = 72696

Least Common Multiple of 312,1864 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 312,1864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,1864) = 8

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

GCF(312,1864) x common factors =8 x 1 = 8

LCM(312,1864) = ( 312 × 1864 ) / 8

LCM(312,1864) = 581568 / 8

LCM(312,1864) = 72696

∴ Least Common Multiple of 312,1864 is 72696

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 312, 1864

1. What is the LCM of 312, 1864?

Answer: LCM of 312, 1864 is 72696.

2. What are the Factors of 72696?

Answer: Factors of 72696 are . There are integers that are factors of 72696

3. How to Find the LCM of 312, 1864 ?

Least Common Multiple of 312, 1864.

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(312, 1864) = 2 x 2 x 2 x 3 x 13 x 233 = 72696.