What is the Least Common Multiple of 33756 and 33772?

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 33756 and 33772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33756 and 33772, than apply into the LCM equation.

GCF(33756,33772) = 4
LCM(33756,33772) = ( 33756 × 33772) / 4
LCM(33756,33772) = 1140007632 / 4
LCM(33756,33772) = 285001908

Least Common Multiple (LCM) of 33756 and 33772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33756 and 33772. First we will calculate the prime factors of 33756 and 33772.

Prime Factorization of 33756

Prime Factorization of 33772

Now multiplying the highest exponent prime factors to calculate the LCM of 33756 and 33772.

LCM(33756,33772) = 2² × 3¹ × 29¹ × 97¹ × 8443¹
LCM(33756,33772) = 285001908