What is the Least Common Multiple of 23530 and 23543?

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 23530 and 23543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23530 and 23543, than apply into the LCM equation.

GCF(23530,23543) = 13
LCM(23530,23543) = ( 23530 × 23543) / 13
LCM(23530,23543) = 553966790 / 13
LCM(23530,23543) = 42612830

Least Common Multiple (LCM) of 23530 and 23543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23530 and 23543. First we will calculate the prime factors of 23530 and 23543.

Prime Factorization of 23530

Prime Factorization of 23543

Now multiplying the highest exponent prime factors to calculate the LCM of 23530 and 23543.

LCM(23530,23543) = 2¹ × 5¹ × 13¹ × 181¹ × 1811¹
LCM(23530,23543) = 42612830