What is the Least Common Multiple of 93660 and 93675?

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 93660 and 93675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93660 and 93675, than apply into the LCM equation.

GCF(93660,93675) = 15
LCM(93660,93675) = ( 93660 × 93675) / 15
LCM(93660,93675) = 8773600500 / 15
LCM(93660,93675) = 584906700

Least Common Multiple (LCM) of 93660 and 93675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93660 and 93675. First we will calculate the prime factors of 93660 and 93675.

Prime Factorization of 93660

Prime Factorization of 93675

Now multiplying the highest exponent prime factors to calculate the LCM of 93660 and 93675.

LCM(93660,93675) = 2² × 3¹ × 5² × 7¹ × 223¹ × 1249¹
LCM(93660,93675) = 584906700