What is the Least Common Multiple of 58392 and 58399?

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 58392 and 58399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58392 and 58399, than apply into the LCM equation.

GCF(58392,58399) = 1
LCM(58392,58399) = ( 58392 × 58399) / 1
LCM(58392,58399) = 3410034408 / 1
LCM(58392,58399) = 3410034408

Least Common Multiple (LCM) of 58392 and 58399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58392 and 58399. First we will calculate the prime factors of 58392 and 58399.

Prime Factorization of 58392

Prime Factorization of 58399

Now multiplying the highest exponent prime factors to calculate the LCM of 58392 and 58399.

LCM(58392,58399) = 2³ × 3² × 811¹ × 11¹ × 5309¹
LCM(58392,58399) = 3410034408