What is the Least Common Multiple of 99660 and 99675?

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 99660 and 99675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99660 and 99675, than apply into the LCM equation.

GCF(99660,99675) = 15
LCM(99660,99675) = ( 99660 × 99675) / 15
LCM(99660,99675) = 9933610500 / 15
LCM(99660,99675) = 662240700

Least Common Multiple (LCM) of 99660 and 99675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99660 and 99675. First we will calculate the prime factors of 99660 and 99675.

Prime Factorization of 99660

Prime Factorization of 99675

Now multiplying the highest exponent prime factors to calculate the LCM of 99660 and 99675.

LCM(99660,99675) = 2² × 3² × 5² × 11¹ × 151¹ × 443¹
LCM(99660,99675) = 662240700