Least Common Multiple of 872, 2888

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 872, 2888 i.e. 314792 smallest integer divisible by all numbers.

Least common multiple (LCM) of 872, 2888 is 314792.

LCM(872, 2888) = 314792

LCM of 872, 2888

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

LCM of:

Least Common Multiple of 872,2888

Least Common Multiple (LCM) of 872,2888 is 314792

2 872, 2888
2 436, 1444
2 218, 722
109, 361

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 361 = 314792

Least Common Multiple of 872,2888 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 872,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,2888) = 8

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

GCF(872,2888) x common factors =8 x 1 = 8

LCM(872,2888) = ( 872 × 2888 ) / 8

LCM(872,2888) = 2518336 / 8

LCM(872,2888) = 314792

∴ Least Common Multiple of 872,2888 is 314792

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 872, 2888

1. What is the LCM of 872, 2888?

Answer: LCM of 872, 2888 is 314792.

2. What are the Factors of 314792?

Answer: Factors of 314792 are . There are integers that are factors of 314792

3. How to Find the LCM of 872, 2888 ?

Least Common Multiple of 872, 2888.

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(872, 2888) = 2 x 2 x 2 x 19 x 19 x 109 = 314792.