What is the Least Common Multiple of 3264 and 3284?

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 3284 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 3284, than apply into the LCM equation.

GCF(3264,3284) = 4
LCM(3264,3284) = ( 3264 × 3284) / 4
LCM(3264,3284) = 10718976 / 4
LCM(3264,3284) = 2679744

Least Common Multiple (LCM) of 3264 and 3284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3284. First we will calculate the prime factors of 3264 and 3284.

Prime Factorization of 3264

Prime Factorization of 3284

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3284.

LCM(3264,3284) = 2⁶ × 3¹ × 17¹ × 821¹
LCM(3264,3284) = 2679744