What is the Least Common Multiple of 19519 and 19531?

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 19519 and 19531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19519 and 19531, than apply into the LCM equation.

GCF(19519,19531) = 1
LCM(19519,19531) = ( 19519 × 19531) / 1
LCM(19519,19531) = 381225589 / 1
LCM(19519,19531) = 381225589

Least Common Multiple (LCM) of 19519 and 19531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19519 and 19531. First we will calculate the prime factors of 19519 and 19531.

Prime Factorization of 19519

Prime Factorization of 19531

Now multiplying the highest exponent prime factors to calculate the LCM of 19519 and 19531.

LCM(19519,19531) = 131¹ × 149¹ × 19531¹
LCM(19519,19531) = 381225589