What is the Least Common Multiple of 89312 and 89328?

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 89312 and 89328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89312 and 89328, than apply into the LCM equation.

GCF(89312,89328) = 16
LCM(89312,89328) = ( 89312 × 89328) / 16
LCM(89312,89328) = 7978062336 / 16
LCM(89312,89328) = 498628896

Least Common Multiple (LCM) of 89312 and 89328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89312 and 89328. First we will calculate the prime factors of 89312 and 89328.

Prime Factorization of 89312

Prime Factorization of 89328

Now multiplying the highest exponent prime factors to calculate the LCM of 89312 and 89328.

LCM(89312,89328) = 2⁵ × 2791¹ × 3¹ × 1861¹
LCM(89312,89328) = 498628896