What is the Least Common Multiple of 33042 and 33048?

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 33042 and 33048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33042 and 33048, than apply into the LCM equation.

GCF(33042,33048) = 6
LCM(33042,33048) = ( 33042 × 33048) / 6
LCM(33042,33048) = 1091972016 / 6
LCM(33042,33048) = 181995336

Least Common Multiple (LCM) of 33042 and 33048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33042 and 33048. First we will calculate the prime factors of 33042 and 33048.

Prime Factorization of 33042

Prime Factorization of 33048

Now multiplying the highest exponent prime factors to calculate the LCM of 33042 and 33048.

LCM(33042,33048) = 2³ × 3⁵ × 5507¹ × 17¹
LCM(33042,33048) = 181995336