What is the Least Common Multiple of 93612 and 93624?

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 93612 and 93624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93612 and 93624, than apply into the LCM equation.

GCF(93612,93624) = 12
LCM(93612,93624) = ( 93612 × 93624) / 12
LCM(93612,93624) = 8764329888 / 12
LCM(93612,93624) = 730360824

Least Common Multiple (LCM) of 93612 and 93624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93612 and 93624. First we will calculate the prime factors of 93612 and 93624.

Prime Factorization of 93612

Prime Factorization of 93624

Now multiplying the highest exponent prime factors to calculate the LCM of 93612 and 93624.

LCM(93612,93624) = 2³ × 3¹ × 29¹ × 269¹ × 47¹ × 83¹
LCM(93612,93624) = 730360824