What is the Least Common Multiple of 3264 and 3282?

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 3264 and 3282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3264 and 3282, than apply into the LCM equation.

GCF(3264,3282) = 6
LCM(3264,3282) = ( 3264 × 3282) / 6
LCM(3264,3282) = 10712448 / 6
LCM(3264,3282) = 1785408

Least Common Multiple (LCM) of 3264 and 3282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3282. First we will calculate the prime factors of 3264 and 3282.

Prime Factorization of 3264

Prime Factorization of 3282

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3282.

LCM(3264,3282) = 2⁶ × 3¹ × 17¹ × 547¹
LCM(3264,3282) = 1785408