What is the Least Common Multiple of 58506 and 58523?

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 58506 and 58523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58506 and 58523, than apply into the LCM equation.

GCF(58506,58523) = 1
LCM(58506,58523) = ( 58506 × 58523) / 1
LCM(58506,58523) = 3423946638 / 1
LCM(58506,58523) = 3423946638

Least Common Multiple (LCM) of 58506 and 58523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58506 and 58523. First we will calculate the prime factors of 58506 and 58523.

Prime Factorization of 58506

Prime Factorization of 58523

Now multiplying the highest exponent prime factors to calculate the LCM of 58506 and 58523.

LCM(58506,58523) = 2¹ × 3¹ × 7² × 199¹ × 43¹ × 1361¹
LCM(58506,58523) = 3423946638