What is the Least Common Multiple of 96660 and 96675?

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 96660 and 96675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96660 and 96675, than apply into the LCM equation.

GCF(96660,96675) = 15
LCM(96660,96675) = ( 96660 × 96675) / 15
LCM(96660,96675) = 9344605500 / 15
LCM(96660,96675) = 622973700

Least Common Multiple (LCM) of 96660 and 96675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96660 and 96675. First we will calculate the prime factors of 96660 and 96675.

Prime Factorization of 96660

Prime Factorization of 96675

Now multiplying the highest exponent prime factors to calculate the LCM of 96660 and 96675.

LCM(96660,96675) = 2² × 3³ × 5² × 179¹ × 1289¹
LCM(96660,96675) = 622973700