What is the Least Common Multiple of 24538 and 24558?

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 24538 and 24558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24538 and 24558, than apply into the LCM equation.

GCF(24538,24558) = 2
LCM(24538,24558) = ( 24538 × 24558) / 2
LCM(24538,24558) = 602604204 / 2
LCM(24538,24558) = 301302102

Least Common Multiple (LCM) of 24538 and 24558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24538 and 24558. First we will calculate the prime factors of 24538 and 24558.

Prime Factorization of 24538

Prime Factorization of 24558

Now multiplying the highest exponent prime factors to calculate the LCM of 24538 and 24558.

LCM(24538,24558) = 2¹ × 12269¹ × 3¹ × 4093¹
LCM(24538,24558) = 301302102