What is the Least Common Multiple of 24537 and 24549?

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 24537 and 24549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24537 and 24549, than apply into the LCM equation.

GCF(24537,24549) = 3
LCM(24537,24549) = ( 24537 × 24549) / 3
LCM(24537,24549) = 602358813 / 3
LCM(24537,24549) = 200786271

Least Common Multiple (LCM) of 24537 and 24549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24537 and 24549. First we will calculate the prime factors of 24537 and 24549.

Prime Factorization of 24537

Prime Factorization of 24549

Now multiplying the highest exponent prime factors to calculate the LCM of 24537 and 24549.

LCM(24537,24549) = 3¹ × 8179¹ × 7² × 167¹
LCM(24537,24549) = 200786271