What is the Least Common Multiple of 40564 and 40576?

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 40564 and 40576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40564 and 40576, than apply into the LCM equation.

GCF(40564,40576) = 4
LCM(40564,40576) = ( 40564 × 40576) / 4
LCM(40564,40576) = 1645924864 / 4
LCM(40564,40576) = 411481216

Least Common Multiple (LCM) of 40564 and 40576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40564 and 40576. First we will calculate the prime factors of 40564 and 40576.

Prime Factorization of 40564

Prime Factorization of 40576

Now multiplying the highest exponent prime factors to calculate the LCM of 40564 and 40576.

LCM(40564,40576) = 2⁷ × 10141¹ × 317¹
LCM(40564,40576) = 411481216