What is the Least Common Multiple of 39575 and 39580?

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 39575 and 39580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39575 and 39580, than apply into the LCM equation.

GCF(39575,39580) = 5
LCM(39575,39580) = ( 39575 × 39580) / 5
LCM(39575,39580) = 1566378500 / 5
LCM(39575,39580) = 313275700

Least Common Multiple (LCM) of 39575 and 39580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39575 and 39580. First we will calculate the prime factors of 39575 and 39580.

Prime Factorization of 39575

Prime Factorization of 39580

Now multiplying the highest exponent prime factors to calculate the LCM of 39575 and 39580.

LCM(39575,39580) = 5² × 1583¹ × 2² × 1979¹
LCM(39575,39580) = 313275700