What is the Least Common Multiple of 89312 and 89327?

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 89327 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 89327, than apply into the LCM equation.

GCF(89312,89327) = 1
LCM(89312,89327) = ( 89312 × 89327) / 1
LCM(89312,89327) = 7977973024 / 1
LCM(89312,89327) = 7977973024

Least Common Multiple (LCM) of 89312 and 89327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89312 and 89327. First we will calculate the prime factors of 89312 and 89327.

Prime Factorization of 89312

Prime Factorization of 89327

Now multiplying the highest exponent prime factors to calculate the LCM of 89312 and 89327.

LCM(89312,89327) = 2⁵ × 2791¹ × 7² × 1823¹
LCM(89312,89327) = 7977973024