What is the Least Common Multiple of 3264 and 3270?

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 3270 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 3270, than apply into the LCM equation.

GCF(3264,3270) = 6
LCM(3264,3270) = ( 3264 × 3270) / 6
LCM(3264,3270) = 10673280 / 6
LCM(3264,3270) = 1778880

Least Common Multiple (LCM) of 3264 and 3270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3270. First we will calculate the prime factors of 3264 and 3270.

Prime Factorization of 3264

Prime Factorization of 3270

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3270.

LCM(3264,3270) = 2⁶ × 3¹ × 17¹ × 5¹ × 109¹
LCM(3264,3270) = 1778880