What is the Least Common Multiple of 88974 and 88992?

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 88974 and 88992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88974 and 88992, than apply into the LCM equation.

GCF(88974,88992) = 18
LCM(88974,88992) = ( 88974 × 88992) / 18
LCM(88974,88992) = 7917974208 / 18
LCM(88974,88992) = 439887456

Least Common Multiple (LCM) of 88974 and 88992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88974 and 88992. First we will calculate the prime factors of 88974 and 88992.

Prime Factorization of 88974

Prime Factorization of 88992

Now multiplying the highest exponent prime factors to calculate the LCM of 88974 and 88992.

LCM(88974,88992) = 2⁵ × 3³ × 4943¹ × 103¹
LCM(88974,88992) = 439887456