What is the Least Common Multiple of 40572 and 40579?

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 40572 and 40579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40572 and 40579, than apply into the LCM equation.

GCF(40572,40579) = 7
LCM(40572,40579) = ( 40572 × 40579) / 7
LCM(40572,40579) = 1646371188 / 7
LCM(40572,40579) = 235195884

Least Common Multiple (LCM) of 40572 and 40579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40572 and 40579. First we will calculate the prime factors of 40572 and 40579.

Prime Factorization of 40572

Prime Factorization of 40579

Now multiplying the highest exponent prime factors to calculate the LCM of 40572 and 40579.

LCM(40572,40579) = 2² × 3² × 7² × 23¹ × 11¹ × 17¹ × 31¹
LCM(40572,40579) = 235195884