What is the Least Common Multiple of 33624 and 33633?

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 33624 and 33633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33624 and 33633, than apply into the LCM equation.

GCF(33624,33633) = 9
LCM(33624,33633) = ( 33624 × 33633) / 9
LCM(33624,33633) = 1130875992 / 9
LCM(33624,33633) = 125652888

Least Common Multiple (LCM) of 33624 and 33633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33624 and 33633. First we will calculate the prime factors of 33624 and 33633.

Prime Factorization of 33624

Prime Factorization of 33633

Now multiplying the highest exponent prime factors to calculate the LCM of 33624 and 33633.

LCM(33624,33633) = 2³ × 3² × 467¹ × 37¹ × 101¹
LCM(33624,33633) = 125652888