What is the Least Common Multiple of 88272 and 88288?

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 88272 and 88288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88272 and 88288, than apply into the LCM equation.

GCF(88272,88288) = 16
LCM(88272,88288) = ( 88272 × 88288) / 16
LCM(88272,88288) = 7793358336 / 16
LCM(88272,88288) = 487084896

Least Common Multiple (LCM) of 88272 and 88288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88272 and 88288. First we will calculate the prime factors of 88272 and 88288.

Prime Factorization of 88272

Prime Factorization of 88288

Now multiplying the highest exponent prime factors to calculate the LCM of 88272 and 88288.

LCM(88272,88288) = 2⁵ × 3² × 613¹ × 31¹ × 89¹
LCM(88272,88288) = 487084896