What is the Least Common Multiple of 18624 and 18639?

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 18624 and 18639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18624 and 18639, than apply into the LCM equation.

GCF(18624,18639) = 3
LCM(18624,18639) = ( 18624 × 18639) / 3
LCM(18624,18639) = 347132736 / 3
LCM(18624,18639) = 115710912

Least Common Multiple (LCM) of 18624 and 18639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18624 and 18639. First we will calculate the prime factors of 18624 and 18639.

Prime Factorization of 18624

Prime Factorization of 18639

Now multiplying the highest exponent prime factors to calculate the LCM of 18624 and 18639.

LCM(18624,18639) = 2⁶ × 3² × 97¹ × 19¹ × 109¹
LCM(18624,18639) = 115710912