What is the Least Common Multiple of 58120 and 58139?

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 58139 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 58139, than apply into the LCM equation.

GCF(58120,58139) = 1
LCM(58120,58139) = ( 58120 × 58139) / 1
LCM(58120,58139) = 3379038680 / 1
LCM(58120,58139) = 3379038680

Least Common Multiple (LCM) of 58120 and 58139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58120 and 58139. First we will calculate the prime factors of 58120 and 58139.

Prime Factorization of 58120

Prime Factorization of 58139

Now multiplying the highest exponent prime factors to calculate the LCM of 58120 and 58139.

LCM(58120,58139) = 2³ × 5¹ × 1453¹ × 47¹ × 1237¹
LCM(58120,58139) = 3379038680