What is the Least Common Multiple of 58474 and 58493?

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 58474 and 58493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58474 and 58493, than apply into the LCM equation.

GCF(58474,58493) = 1
LCM(58474,58493) = ( 58474 × 58493) / 1
LCM(58474,58493) = 3420319682 / 1
LCM(58474,58493) = 3420319682

Least Common Multiple (LCM) of 58474 and 58493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58474 and 58493. First we will calculate the prime factors of 58474 and 58493.

Prime Factorization of 58474

Prime Factorization of 58493

Now multiplying the highest exponent prime factors to calculate the LCM of 58474 and 58493.

LCM(58474,58493) = 2¹ × 13² × 173¹ × 29¹ × 2017¹
LCM(58474,58493) = 3420319682