What is the Least Common Multiple of 99375 and 99390?

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 99375 and 99390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99375 and 99390, than apply into the LCM equation.

GCF(99375,99390) = 15
LCM(99375,99390) = ( 99375 × 99390) / 15
LCM(99375,99390) = 9876881250 / 15
LCM(99375,99390) = 658458750

Least Common Multiple (LCM) of 99375 and 99390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99375 and 99390. First we will calculate the prime factors of 99375 and 99390.

Prime Factorization of 99375

Prime Factorization of 99390

Now multiplying the highest exponent prime factors to calculate the LCM of 99375 and 99390.

LCM(99375,99390) = 3¹ × 5⁴ × 53¹ × 2¹ × 3313¹
LCM(99375,99390) = 658458750