What is the Least Common Multiple of 58915 and 58924?

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 58915 and 58924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58915 and 58924, than apply into the LCM equation.

GCF(58915,58924) = 1
LCM(58915,58924) = ( 58915 × 58924) / 1
LCM(58915,58924) = 3471507460 / 1
LCM(58915,58924) = 3471507460

Least Common Multiple (LCM) of 58915 and 58924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58915 and 58924. First we will calculate the prime factors of 58915 and 58924.

Prime Factorization of 58915

Prime Factorization of 58924

Now multiplying the highest exponent prime factors to calculate the LCM of 58915 and 58924.

LCM(58915,58924) = 5¹ × 11783¹ × 2² × 14731¹
LCM(58915,58924) = 3471507460