What is the Least Common Multiple of 74585 and 74600?

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 74585 and 74600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74585 and 74600, than apply into the LCM equation.

GCF(74585,74600) = 5
LCM(74585,74600) = ( 74585 × 74600) / 5
LCM(74585,74600) = 5564041000 / 5
LCM(74585,74600) = 1112808200

Least Common Multiple (LCM) of 74585 and 74600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74585 and 74600. First we will calculate the prime factors of 74585 and 74600.

Prime Factorization of 74585

Prime Factorization of 74600

Now multiplying the highest exponent prime factors to calculate the LCM of 74585 and 74600.

LCM(74585,74600) = 5² × 7¹ × 2131¹ × 2³ × 373¹
LCM(74585,74600) = 1112808200