What is the Least Common Multiple of 58488 and 58507?

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 58488 and 58507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58488 and 58507, than apply into the LCM equation.

GCF(58488,58507) = 1
LCM(58488,58507) = ( 58488 × 58507) / 1
LCM(58488,58507) = 3421957416 / 1
LCM(58488,58507) = 3421957416

Least Common Multiple (LCM) of 58488 and 58507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58488 and 58507. First we will calculate the prime factors of 58488 and 58507.

Prime Factorization of 58488

Prime Factorization of 58507

Now multiplying the highest exponent prime factors to calculate the LCM of 58488 and 58507.

LCM(58488,58507) = 2³ × 3¹ × 2437¹ × 41¹ × 1427¹
LCM(58488,58507) = 3421957416