What is the Least Common Multiple of 58077 and 58097?

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 58077 and 58097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58077 and 58097, than apply into the LCM equation.

GCF(58077,58097) = 1
LCM(58077,58097) = ( 58077 × 58097) / 1
LCM(58077,58097) = 3374099469 / 1
LCM(58077,58097) = 3374099469

Least Common Multiple (LCM) of 58077 and 58097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58077 and 58097. First we will calculate the prime factors of 58077 and 58097.

Prime Factorization of 58077

Prime Factorization of 58097

Now multiplying the highest exponent prime factors to calculate the LCM of 58077 and 58097.

LCM(58077,58097) = 3⁵ × 239¹ × 13¹ × 41¹ × 109¹
LCM(58077,58097) = 3374099469