What is the Least Common Multiple of 48624 and 48639?

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 48624 and 48639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48624 and 48639, than apply into the LCM equation.

GCF(48624,48639) = 3
LCM(48624,48639) = ( 48624 × 48639) / 3
LCM(48624,48639) = 2365022736 / 3
LCM(48624,48639) = 788340912

Least Common Multiple (LCM) of 48624 and 48639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48624 and 48639. First we will calculate the prime factors of 48624 and 48639.

Prime Factorization of 48624

Prime Factorization of 48639

Now multiplying the highest exponent prime factors to calculate the LCM of 48624 and 48639.

LCM(48624,48639) = 2⁴ × 3¹ × 1013¹ × 31¹ × 523¹
LCM(48624,48639) = 788340912