What is the Least Common Multiple of 58713 and 58731?

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 58713 and 58731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58713 and 58731, than apply into the LCM equation.

GCF(58713,58731) = 3
LCM(58713,58731) = ( 58713 × 58731) / 3
LCM(58713,58731) = 3448273203 / 3
LCM(58713,58731) = 1149424401

Least Common Multiple (LCM) of 58713 and 58731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58713 and 58731. First we will calculate the prime factors of 58713 and 58731.

Prime Factorization of 58713

Prime Factorization of 58731

Now multiplying the highest exponent prime factors to calculate the LCM of 58713 and 58731.

LCM(58713,58731) = 3¹ × 19571¹ × 19577¹
LCM(58713,58731) = 1149424401