What is the Least Common Multiple of 36612 and 36624?

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 36612 and 36624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36612 and 36624, than apply into the LCM equation.

GCF(36612,36624) = 12
LCM(36612,36624) = ( 36612 × 36624) / 12
LCM(36612,36624) = 1340877888 / 12
LCM(36612,36624) = 111739824

Least Common Multiple (LCM) of 36612 and 36624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36612 and 36624. First we will calculate the prime factors of 36612 and 36624.

Prime Factorization of 36612

Prime Factorization of 36624

Now multiplying the highest exponent prime factors to calculate the LCM of 36612 and 36624.

LCM(36612,36624) = 2⁴ × 3⁴ × 113¹ × 7¹ × 109¹
LCM(36612,36624) = 111739824