What is the Least Common Multiple of 73575 and 73580?

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 73575 and 73580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73575 and 73580, than apply into the LCM equation.

GCF(73575,73580) = 5
LCM(73575,73580) = ( 73575 × 73580) / 5
LCM(73575,73580) = 5413648500 / 5
LCM(73575,73580) = 1082729700

Least Common Multiple (LCM) of 73575 and 73580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73575 and 73580. First we will calculate the prime factors of 73575 and 73580.

Prime Factorization of 73575

Prime Factorization of 73580

Now multiplying the highest exponent prime factors to calculate the LCM of 73575 and 73580.

LCM(73575,73580) = 3³ × 5² × 109¹ × 2² × 13¹ × 283¹
LCM(73575,73580) = 1082729700