What is the Least Common Multiple of 37575 and 37580?

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 37575 and 37580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37575 and 37580, than apply into the LCM equation.

GCF(37575,37580) = 5
LCM(37575,37580) = ( 37575 × 37580) / 5
LCM(37575,37580) = 1412068500 / 5
LCM(37575,37580) = 282413700

Least Common Multiple (LCM) of 37575 and 37580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37575 and 37580. First we will calculate the prime factors of 37575 and 37580.

Prime Factorization of 37575

Prime Factorization of 37580

Now multiplying the highest exponent prime factors to calculate the LCM of 37575 and 37580.

LCM(37575,37580) = 3² × 5² × 167¹ × 2² × 1879¹
LCM(37575,37580) = 282413700