What is the Least Common Multiple of 33138 and 33144?

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 33138 and 33144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33138 and 33144, than apply into the LCM equation.

GCF(33138,33144) = 6
LCM(33138,33144) = ( 33138 × 33144) / 6
LCM(33138,33144) = 1098325872 / 6
LCM(33138,33144) = 183054312

Least Common Multiple (LCM) of 33138 and 33144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33138 and 33144. First we will calculate the prime factors of 33138 and 33144.

Prime Factorization of 33138

Prime Factorization of 33144

Now multiplying the highest exponent prime factors to calculate the LCM of 33138 and 33144.

LCM(33138,33144) = 2³ × 3² × 7¹ × 263¹ × 1381¹
LCM(33138,33144) = 183054312