What is the Least Common Multiple of 32564 and 32570?

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 32564 and 32570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32564 and 32570, than apply into the LCM equation.

GCF(32564,32570) = 2
LCM(32564,32570) = ( 32564 × 32570) / 2
LCM(32564,32570) = 1060609480 / 2
LCM(32564,32570) = 530304740

Least Common Multiple (LCM) of 32564 and 32570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32564 and 32570. First we will calculate the prime factors of 32564 and 32570.

Prime Factorization of 32564

Prime Factorization of 32570

Now multiplying the highest exponent prime factors to calculate the LCM of 32564 and 32570.

LCM(32564,32570) = 2² × 7¹ × 1163¹ × 5¹ × 3257¹
LCM(32564,32570) = 530304740