What is the Least Common Multiple of 93672 and 93684?

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 93672 and 93684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93672 and 93684, than apply into the LCM equation.

GCF(93672,93684) = 12
LCM(93672,93684) = ( 93672 × 93684) / 12
LCM(93672,93684) = 8775567648 / 12
LCM(93672,93684) = 731297304

Least Common Multiple (LCM) of 93672 and 93684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93672 and 93684. First we will calculate the prime factors of 93672 and 93684.

Prime Factorization of 93672

Prime Factorization of 93684

Now multiplying the highest exponent prime factors to calculate the LCM of 93672 and 93684.

LCM(93672,93684) = 2³ × 3² × 1301¹ × 37¹ × 211¹
LCM(93672,93684) = 731297304