What is the Least Common Multiple of 33624 and 33642?

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 33642 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 33642, than apply into the LCM equation.

GCF(33624,33642) = 18
LCM(33624,33642) = ( 33624 × 33642) / 18
LCM(33624,33642) = 1131178608 / 18
LCM(33624,33642) = 62843256

Least Common Multiple (LCM) of 33624 and 33642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33624 and 33642. First we will calculate the prime factors of 33624 and 33642.

Prime Factorization of 33624

Prime Factorization of 33642

Now multiplying the highest exponent prime factors to calculate the LCM of 33624 and 33642.

LCM(33624,33642) = 2³ × 3³ × 467¹ × 7¹ × 89¹
LCM(33624,33642) = 62843256