What is the Least Common Multiple of 15509 and 15524?

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 15509 and 15524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15509 and 15524, than apply into the LCM equation.

GCF(15509,15524) = 1
LCM(15509,15524) = ( 15509 × 15524) / 1
LCM(15509,15524) = 240761716 / 1
LCM(15509,15524) = 240761716

Least Common Multiple (LCM) of 15509 and 15524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15509 and 15524. First we will calculate the prime factors of 15509 and 15524.

Prime Factorization of 15509

Prime Factorization of 15524

Now multiplying the highest exponent prime factors to calculate the LCM of 15509 and 15524.

LCM(15509,15524) = 13¹ × 1193¹ × 2² × 3881¹
LCM(15509,15524) = 240761716