What is the Least Common Multiple of 58910 and 58915?

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 58910 and 58915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58910 and 58915, than apply into the LCM equation.

GCF(58910,58915) = 5
LCM(58910,58915) = ( 58910 × 58915) / 5
LCM(58910,58915) = 3470682650 / 5
LCM(58910,58915) = 694136530

Least Common Multiple (LCM) of 58910 and 58915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58910 and 58915. First we will calculate the prime factors of 58910 and 58915.

Prime Factorization of 58910

Prime Factorization of 58915

Now multiplying the highest exponent prime factors to calculate the LCM of 58910 and 58915.

LCM(58910,58915) = 2¹ × 5¹ × 43¹ × 137¹ × 11783¹
LCM(58910,58915) = 694136530