What is the Least Common Multiple of 11256 and 11272?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11256 and 11272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11256 and 11272, than apply into the LCM equation.

GCF(11256,11272) = 8
LCM(11256,11272) = ( 11256 × 11272) / 8
LCM(11256,11272) = 126877632 / 8
LCM(11256,11272) = 15859704

Least Common Multiple (LCM) of 11256 and 11272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11256 and 11272. First we will calculate the prime factors of 11256 and 11272.

Prime Factorization of 11256

Prime Factorization of 11272

Now multiplying the highest exponent prime factors to calculate the LCM of 11256 and 11272.

LCM(11256,11272) = 2³ × 3¹ × 7¹ × 67¹ × 1409¹
LCM(11256,11272) = 15859704