What is the Least Common Multiple of 58906 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 58906 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 58906 and 58915, than apply into the LCM equation.

GCF(58906,58915) = 1
LCM(58906,58915) = ( 58906 × 58915) / 1
LCM(58906,58915) = 3470446990 / 1
LCM(58906,58915) = 3470446990

Least Common Multiple (LCM) of 58906 and 58915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58906 and 58915. First we will calculate the prime factors of 58906 and 58915.

Prime Factorization of 58906

Prime Factorization of 58915

Now multiplying the highest exponent prime factors to calculate the LCM of 58906 and 58915.

LCM(58906,58915) = 2¹ × 29453¹ × 5¹ × 11783¹
LCM(58906,58915) = 3470446990