What is the Least Common Multiple of 58120 and 58137?

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 58120 and 58137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58120 and 58137, than apply into the LCM equation.

GCF(58120,58137) = 1
LCM(58120,58137) = ( 58120 × 58137) / 1
LCM(58120,58137) = 3378922440 / 1
LCM(58120,58137) = 3378922440

Least Common Multiple (LCM) of 58120 and 58137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58120 and 58137. First we will calculate the prime factors of 58120 and 58137.

Prime Factorization of 58120

Prime Factorization of 58137

Now multiplying the highest exponent prime factors to calculate the LCM of 58120 and 58137.

LCM(58120,58137) = 2³ × 5¹ × 1453¹ × 3¹ × 19379¹
LCM(58120,58137) = 3378922440