What is the Least Common Multiple of 33048 and 33057?

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 33048 and 33057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33048 and 33057, than apply into the LCM equation.

GCF(33048,33057) = 9
LCM(33048,33057) = ( 33048 × 33057) / 9
LCM(33048,33057) = 1092467736 / 9
LCM(33048,33057) = 121385304

Least Common Multiple (LCM) of 33048 and 33057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33048 and 33057. First we will calculate the prime factors of 33048 and 33057.

Prime Factorization of 33048

Prime Factorization of 33057

Now multiplying the highest exponent prime factors to calculate the LCM of 33048 and 33057.

LCM(33048,33057) = 2³ × 3⁵ × 17¹ × 3673¹
LCM(33048,33057) = 121385304