What is the Least Common Multiple of 24501 and 24507?

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 24501 and 24507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24501 and 24507, than apply into the LCM equation.

GCF(24501,24507) = 3
LCM(24501,24507) = ( 24501 × 24507) / 3
LCM(24501,24507) = 600446007 / 3
LCM(24501,24507) = 200148669

Least Common Multiple (LCM) of 24501 and 24507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24501 and 24507. First we will calculate the prime factors of 24501 and 24507.

Prime Factorization of 24501

Prime Factorization of 24507

Now multiplying the highest exponent prime factors to calculate the LCM of 24501 and 24507.

LCM(24501,24507) = 3² × 8167¹ × 7¹ × 389¹
LCM(24501,24507) = 200148669