What is the Least Common Multiple of 3250 and 3264?

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 3250 and 3264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3250 and 3264, than apply into the LCM equation.

GCF(3250,3264) = 2
LCM(3250,3264) = ( 3250 × 3264) / 2
LCM(3250,3264) = 10608000 / 2
LCM(3250,3264) = 5304000

Least Common Multiple (LCM) of 3250 and 3264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3250 and 3264. First we will calculate the prime factors of 3250 and 3264.

Prime Factorization of 3250

Prime Factorization of 3264

Now multiplying the highest exponent prime factors to calculate the LCM of 3250 and 3264.

LCM(3250,3264) = 2⁶ × 5³ × 13¹ × 3¹ × 17¹
LCM(3250,3264) = 5304000