What is the Least Common Multiple of 89376 and 89384?

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 89376 and 89384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89376 and 89384, than apply into the LCM equation.

GCF(89376,89384) = 8
LCM(89376,89384) = ( 89376 × 89384) / 8
LCM(89376,89384) = 7988784384 / 8
LCM(89376,89384) = 998598048

Least Common Multiple (LCM) of 89376 and 89384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89376 and 89384. First we will calculate the prime factors of 89376 and 89384.

Prime Factorization of 89376

Prime Factorization of 89384

Now multiplying the highest exponent prime factors to calculate the LCM of 89376 and 89384.

LCM(89376,89384) = 2⁵ × 3¹ × 7² × 19¹ × 11173¹
LCM(89376,89384) = 998598048