What is the Least Common Multiple of 58581 and 58599?

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 58581 and 58599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58581 and 58599, than apply into the LCM equation.

GCF(58581,58599) = 9
LCM(58581,58599) = ( 58581 × 58599) / 9
LCM(58581,58599) = 3432788019 / 9
LCM(58581,58599) = 381420891

Least Common Multiple (LCM) of 58581 and 58599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58581 and 58599. First we will calculate the prime factors of 58581 and 58599.

Prime Factorization of 58581

Prime Factorization of 58599

Now multiplying the highest exponent prime factors to calculate the LCM of 58581 and 58599.

LCM(58581,58599) = 3² × 23¹ × 283¹ × 17¹ × 383¹
LCM(58581,58599) = 381420891