What is the Least Common Multiple of 39624 and 39633?

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 39624 and 39633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39624 and 39633, than apply into the LCM equation.

GCF(39624,39633) = 3
LCM(39624,39633) = ( 39624 × 39633) / 3
LCM(39624,39633) = 1570417992 / 3
LCM(39624,39633) = 523472664

Least Common Multiple (LCM) of 39624 and 39633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39624 and 39633. First we will calculate the prime factors of 39624 and 39633.

Prime Factorization of 39624

Prime Factorization of 39633

Now multiplying the highest exponent prime factors to calculate the LCM of 39624 and 39633.

LCM(39624,39633) = 2³ × 3¹ × 13¹ × 127¹ × 11¹ × 1201¹
LCM(39624,39633) = 523472664