What is the Least Common Multiple of 24538 and 24550?

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 24550 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 24550, than apply into the LCM equation.

GCF(24538,24550) = 2
LCM(24538,24550) = ( 24538 × 24550) / 2
LCM(24538,24550) = 602407900 / 2
LCM(24538,24550) = 301203950

Least Common Multiple (LCM) of 24538 and 24550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24538 and 24550. First we will calculate the prime factors of 24538 and 24550.

Prime Factorization of 24538

Prime Factorization of 24550

Now multiplying the highest exponent prime factors to calculate the LCM of 24538 and 24550.

LCM(24538,24550) = 2¹ × 12269¹ × 5² × 491¹
LCM(24538,24550) = 301203950