What is the Least Common Multiple of 40568 and 40574?

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 40568 and 40574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40568 and 40574, than apply into the LCM equation.

GCF(40568,40574) = 2
LCM(40568,40574) = ( 40568 × 40574) / 2
LCM(40568,40574) = 1646006032 / 2
LCM(40568,40574) = 823003016

Least Common Multiple (LCM) of 40568 and 40574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40568 and 40574. First we will calculate the prime factors of 40568 and 40574.

Prime Factorization of 40568

Prime Factorization of 40574

Now multiplying the highest exponent prime factors to calculate the LCM of 40568 and 40574.

LCM(40568,40574) = 2³ × 11¹ × 461¹ × 20287¹
LCM(40568,40574) = 823003016