What is the Least Common Multiple of 93512 and 93528?

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 93512 and 93528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93512 and 93528, than apply into the LCM equation.

GCF(93512,93528) = 8
LCM(93512,93528) = ( 93512 × 93528) / 8
LCM(93512,93528) = 8745990336 / 8
LCM(93512,93528) = 1093248792

Least Common Multiple (LCM) of 93512 and 93528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93512 and 93528. First we will calculate the prime factors of 93512 and 93528.

Prime Factorization of 93512

Prime Factorization of 93528

Now multiplying the highest exponent prime factors to calculate the LCM of 93512 and 93528.

LCM(93512,93528) = 2³ × 11689¹ × 3³ × 433¹
LCM(93512,93528) = 1093248792