What is the Least Common Multiple of 24520 and 24538?

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 24520 and 24538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24520 and 24538, than apply into the LCM equation.

GCF(24520,24538) = 2
LCM(24520,24538) = ( 24520 × 24538) / 2
LCM(24520,24538) = 601671760 / 2
LCM(24520,24538) = 300835880

Least Common Multiple (LCM) of 24520 and 24538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24520 and 24538. First we will calculate the prime factors of 24520 and 24538.

Prime Factorization of 24520

Prime Factorization of 24538

Now multiplying the highest exponent prime factors to calculate the LCM of 24520 and 24538.

LCM(24520,24538) = 2³ × 5¹ × 613¹ × 12269¹
LCM(24520,24538) = 300835880