Least Common Multiple of 312, 1352

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, 1352 i.e. 4056 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 1352 is 4056.

LCM(312, 1352) = 4056

LCM of 312, 1352

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

LCM of:

Least Common Multiple of 312,1352

Least Common Multiple (LCM) of 312,1352 is 4056

2 312, 1352
2 156, 676
2 78, 338
13 39, 169
3, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 3 x 13 = 4056

Least Common Multiple of 312,1352 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 312,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,1352) = 104

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

GCF(312,1352) x common factors =104 x 1 = 104

LCM(312,1352) = ( 312 × 1352 ) / 104

LCM(312,1352) = 421824 / 104

LCM(312,1352) = 4056

∴ Least Common Multiple of 312,1352 is 4056

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 312, 1352

1. What is the LCM of 312, 1352?

Answer: LCM of 312, 1352 is 4056.

2. What are the Factors of 4056?

Answer: Factors of 4056 are . There are integers that are factors of 4056

3. How to Find the LCM of 312, 1352 ?

Least Common Multiple of 312, 1352.

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, 1352) = 2 x 2 x 2 x 3 x 13 x 13 = 4056.