What is the Least Common Multiple of 33288 and 33294?

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 33288 and 33294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33288 and 33294, than apply into the LCM equation.

GCF(33288,33294) = 6
LCM(33288,33294) = ( 33288 × 33294) / 6
LCM(33288,33294) = 1108290672 / 6
LCM(33288,33294) = 184715112

Least Common Multiple (LCM) of 33288 and 33294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33288 and 33294. First we will calculate the prime factors of 33288 and 33294.

Prime Factorization of 33288

Prime Factorization of 33294

Now multiplying the highest exponent prime factors to calculate the LCM of 33288 and 33294.

LCM(33288,33294) = 2³ × 3¹ × 19¹ × 73¹ × 31¹ × 179¹
LCM(33288,33294) = 184715112