What is the Least Common Multiple of 93546 and 93564?

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 93546 and 93564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93546 and 93564, than apply into the LCM equation.

GCF(93546,93564) = 18
LCM(93546,93564) = ( 93546 × 93564) / 18
LCM(93546,93564) = 8752537944 / 18
LCM(93546,93564) = 486252108

Least Common Multiple (LCM) of 93546 and 93564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93546 and 93564. First we will calculate the prime factors of 93546 and 93564.

Prime Factorization of 93546

Prime Factorization of 93564

Now multiplying the highest exponent prime factors to calculate the LCM of 93546 and 93564.

LCM(93546,93564) = 2² × 3² × 5197¹ × 23¹ × 113¹
LCM(93546,93564) = 486252108