What is the Least Common Multiple of 12624 and 12633?

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 12624 and 12633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12624 and 12633, than apply into the LCM equation.

GCF(12624,12633) = 3
LCM(12624,12633) = ( 12624 × 12633) / 3
LCM(12624,12633) = 159478992 / 3
LCM(12624,12633) = 53159664

Least Common Multiple (LCM) of 12624 and 12633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12624 and 12633. First we will calculate the prime factors of 12624 and 12633.

Prime Factorization of 12624

Prime Factorization of 12633

Now multiplying the highest exponent prime factors to calculate the LCM of 12624 and 12633.

LCM(12624,12633) = 2⁴ × 3¹ × 263¹ × 4211¹
LCM(12624,12633) = 53159664