What is the Least Common Multiple of 33648 and 33657?

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 33648 and 33657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33648 and 33657, than apply into the LCM equation.

GCF(33648,33657) = 3
LCM(33648,33657) = ( 33648 × 33657) / 3
LCM(33648,33657) = 1132490736 / 3
LCM(33648,33657) = 377496912

Least Common Multiple (LCM) of 33648 and 33657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33648 and 33657. First we will calculate the prime factors of 33648 and 33657.

Prime Factorization of 33648

Prime Factorization of 33657

Now multiplying the highest exponent prime factors to calculate the LCM of 33648 and 33657.

LCM(33648,33657) = 2⁴ × 3¹ × 701¹ × 13¹ × 863¹
LCM(33648,33657) = 377496912