What is the Least Common Multiple of 93645 and 93660?

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 93645 and 93660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93645 and 93660, than apply into the LCM equation.

GCF(93645,93660) = 15
LCM(93645,93660) = ( 93645 × 93660) / 15
LCM(93645,93660) = 8770790700 / 15
LCM(93645,93660) = 584719380

Least Common Multiple (LCM) of 93645 and 93660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93645 and 93660. First we will calculate the prime factors of 93645 and 93660.

Prime Factorization of 93645

Prime Factorization of 93660

Now multiplying the highest exponent prime factors to calculate the LCM of 93645 and 93660.

LCM(93645,93660) = 3² × 5¹ × 2081¹ × 2² × 7¹ × 223¹
LCM(93645,93660) = 584719380