What is the Least Common Multiple of 58623 and 58643?

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 58623 and 58643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58623 and 58643, than apply into the LCM equation.

GCF(58623,58643) = 1
LCM(58623,58643) = ( 58623 × 58643) / 1
LCM(58623,58643) = 3437828589 / 1
LCM(58623,58643) = 3437828589

Least Common Multiple (LCM) of 58623 and 58643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58623 and 58643. First we will calculate the prime factors of 58623 and 58643.

Prime Factorization of 58623

Prime Factorization of 58643

Now multiplying the highest exponent prime factors to calculate the LCM of 58623 and 58643.

LCM(58623,58643) = 3¹ × 19541¹ × 13² × 347¹
LCM(58623,58643) = 3437828589