What is the Least Common Multiple of 24509 and 24524?

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 24509 and 24524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24509 and 24524, than apply into the LCM equation.

GCF(24509,24524) = 1
LCM(24509,24524) = ( 24509 × 24524) / 1
LCM(24509,24524) = 601058716 / 1
LCM(24509,24524) = 601058716

Least Common Multiple (LCM) of 24509 and 24524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24509 and 24524. First we will calculate the prime factors of 24509 and 24524.

Prime Factorization of 24509

Prime Factorization of 24524

Now multiplying the highest exponent prime factors to calculate the LCM of 24509 and 24524.

LCM(24509,24524) = 24509¹ × 2² × 6131¹
LCM(24509,24524) = 601058716