What is the Least Common Multiple of 6624 and 6633?

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 6624 and 6633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6624 and 6633, than apply into the LCM equation.

GCF(6624,6633) = 9
LCM(6624,6633) = ( 6624 × 6633) / 9
LCM(6624,6633) = 43936992 / 9
LCM(6624,6633) = 4881888

Least Common Multiple (LCM) of 6624 and 6633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6624 and 6633. First we will calculate the prime factors of 6624 and 6633.

Prime Factorization of 6624

Prime Factorization of 6633

Now multiplying the highest exponent prime factors to calculate the LCM of 6624 and 6633.

LCM(6624,6633) = 2⁵ × 3² × 23¹ × 11¹ × 67¹
LCM(6624,6633) = 4881888