What is the Least Common Multiple of 624 and 633?

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 624 and 633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 624 and 633, than apply into the LCM equation.

GCF(624,633) = 3
LCM(624,633) = ( 624 × 633) / 3
LCM(624,633) = 394992 / 3
LCM(624,633) = 131664

Least Common Multiple (LCM) of 624 and 633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 633. First we will calculate the prime factors of 624 and 633.

Prime Factorization of 624

Prime Factorization of 633

Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 633.

LCM(624,633) = 2⁴ × 3¹ × 13¹ × 211¹
LCM(624,633) = 131664