What is the Least Common Multiple of 36624 and 36639?

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 36624 and 36639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36624 and 36639, than apply into the LCM equation.

GCF(36624,36639) = 3
LCM(36624,36639) = ( 36624 × 36639) / 3
LCM(36624,36639) = 1341866736 / 3
LCM(36624,36639) = 447288912

Least Common Multiple (LCM) of 36624 and 36639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36624 and 36639. First we will calculate the prime factors of 36624 and 36639.

Prime Factorization of 36624

Prime Factorization of 36639

Now multiplying the highest exponent prime factors to calculate the LCM of 36624 and 36639.

LCM(36624,36639) = 2⁴ × 3³ × 7¹ × 109¹ × 23¹ × 59¹
LCM(36624,36639) = 447288912