What is the Least Common Multiple of 58519 and 58524?

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 58519 and 58524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58519 and 58524, than apply into the LCM equation.

GCF(58519,58524) = 1
LCM(58519,58524) = ( 58519 × 58524) / 1
LCM(58519,58524) = 3424765956 / 1
LCM(58519,58524) = 3424765956

Least Common Multiple (LCM) of 58519 and 58524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58519 and 58524. First we will calculate the prime factors of 58519 and 58524.

Prime Factorization of 58519

Prime Factorization of 58524

Now multiplying the highest exponent prime factors to calculate the LCM of 58519 and 58524.

LCM(58519,58524) = 139¹ × 421¹ × 2² × 3¹ × 4877¹
LCM(58519,58524) = 3424765956