What is the Least Common Multiple of 51624 and 51633?

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 51624 and 51633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51624 and 51633, than apply into the LCM equation.

GCF(51624,51633) = 9
LCM(51624,51633) = ( 51624 × 51633) / 9
LCM(51624,51633) = 2665501992 / 9
LCM(51624,51633) = 296166888

Least Common Multiple (LCM) of 51624 and 51633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51624 and 51633. First we will calculate the prime factors of 51624 and 51633.

Prime Factorization of 51624

Prime Factorization of 51633

Now multiplying the highest exponent prime factors to calculate the LCM of 51624 and 51633.

LCM(51624,51633) = 2³ × 3³ × 239¹ × 5737¹
LCM(51624,51633) = 296166888