What is the Least Common Multiple of 93648 and 93657?

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 93648 and 93657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93648 and 93657, than apply into the LCM equation.

GCF(93648,93657) = 3
LCM(93648,93657) = ( 93648 × 93657) / 3
LCM(93648,93657) = 8770790736 / 3
LCM(93648,93657) = 2923596912

Least Common Multiple (LCM) of 93648 and 93657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93648 and 93657. First we will calculate the prime factors of 93648 and 93657.

Prime Factorization of 93648

Prime Factorization of 93657

Now multiplying the highest exponent prime factors to calculate the LCM of 93648 and 93657.

LCM(93648,93657) = 2⁴ × 3¹ × 1951¹ × 31219¹
LCM(93648,93657) = 2923596912