What is the Least Common Multiple of 93596 and 93612?

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 93596 and 93612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93596 and 93612, than apply into the LCM equation.

GCF(93596,93612) = 4
LCM(93596,93612) = ( 93596 × 93612) / 4
LCM(93596,93612) = 8761708752 / 4
LCM(93596,93612) = 2190427188

Least Common Multiple (LCM) of 93596 and 93612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93596 and 93612. First we will calculate the prime factors of 93596 and 93612.

Prime Factorization of 93596

Prime Factorization of 93612

Now multiplying the highest exponent prime factors to calculate the LCM of 93596 and 93612.

LCM(93596,93612) = 2² × 23399¹ × 3¹ × 29¹ × 269¹
LCM(93596,93612) = 2190427188