What is the Least Common Multiple of 9519 and 9537?

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 9519 and 9537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9519 and 9537, than apply into the LCM equation.

GCF(9519,9537) = 3
LCM(9519,9537) = ( 9519 × 9537) / 3
LCM(9519,9537) = 90782703 / 3
LCM(9519,9537) = 30260901

Least Common Multiple (LCM) of 9519 and 9537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9519 and 9537. First we will calculate the prime factors of 9519 and 9537.

Prime Factorization of 9519

Prime Factorization of 9537

Now multiplying the highest exponent prime factors to calculate the LCM of 9519 and 9537.

LCM(9519,9537) = 3¹ × 19¹ × 167¹ × 11¹ × 17²
LCM(9519,9537) = 30260901