What is the Least Common Multiple of 17564 and 17576?

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 17564 and 17576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17564 and 17576, than apply into the LCM equation.

GCF(17564,17576) = 4
LCM(17564,17576) = ( 17564 × 17576) / 4
LCM(17564,17576) = 308704864 / 4
LCM(17564,17576) = 77176216

Least Common Multiple (LCM) of 17564 and 17576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17564 and 17576. First we will calculate the prime factors of 17564 and 17576.

Prime Factorization of 17564

Prime Factorization of 17576

Now multiplying the highest exponent prime factors to calculate the LCM of 17564 and 17576.

LCM(17564,17576) = 2³ × 4391¹ × 13³
LCM(17564,17576) = 77176216