What is the Least Common Multiple of 17519 and 17531?

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 17519 and 17531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17519 and 17531, than apply into the LCM equation.

GCF(17519,17531) = 1
LCM(17519,17531) = ( 17519 × 17531) / 1
LCM(17519,17531) = 307125589 / 1
LCM(17519,17531) = 307125589

Least Common Multiple (LCM) of 17519 and 17531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17519 and 17531. First we will calculate the prime factors of 17519 and 17531.

Prime Factorization of 17519

Prime Factorization of 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 17519 and 17531.

LCM(17519,17531) = 17519¹ × 47¹ × 373¹
LCM(17519,17531) = 307125589