What is the Least Common Multiple of 15496 and 15509?

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 15496 and 15509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15496 and 15509, than apply into the LCM equation.

GCF(15496,15509) = 13
LCM(15496,15509) = ( 15496 × 15509) / 13
LCM(15496,15509) = 240327464 / 13
LCM(15496,15509) = 18486728

Least Common Multiple (LCM) of 15496 and 15509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15496 and 15509. First we will calculate the prime factors of 15496 and 15509.

Prime Factorization of 15496

Prime Factorization of 15509

Now multiplying the highest exponent prime factors to calculate the LCM of 15496 and 15509.

LCM(15496,15509) = 2³ × 13¹ × 149¹ × 1193¹
LCM(15496,15509) = 18486728