What is the Least Common Multiple of 93633 and 93645?

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 93633 and 93645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93633 and 93645, than apply into the LCM equation.

GCF(93633,93645) = 3
LCM(93633,93645) = ( 93633 × 93645) / 3
LCM(93633,93645) = 8768262285 / 3
LCM(93633,93645) = 2922754095

Least Common Multiple (LCM) of 93633 and 93645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93633 and 93645. First we will calculate the prime factors of 93633 and 93645.

Prime Factorization of 93633

Prime Factorization of 93645

Now multiplying the highest exponent prime factors to calculate the LCM of 93633 and 93645.

LCM(93633,93645) = 3² × 23² × 59¹ × 5¹ × 2081¹
LCM(93633,93645) = 2922754095