What is the Least Common Multiple of 93564 and 93573?

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 93564 and 93573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93564 and 93573, than apply into the LCM equation.

GCF(93564,93573) = 9
LCM(93564,93573) = ( 93564 × 93573) / 9
LCM(93564,93573) = 8755064172 / 9
LCM(93564,93573) = 972784908

Least Common Multiple (LCM) of 93564 and 93573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93564 and 93573. First we will calculate the prime factors of 93564 and 93573.

Prime Factorization of 93564

Prime Factorization of 93573

Now multiplying the highest exponent prime factors to calculate the LCM of 93564 and 93573.

LCM(93564,93573) = 2² × 3² × 23¹ × 113¹ × 37¹ × 281¹
LCM(93564,93573) = 972784908