What is the Least Common Multiple of 65519 and 65531?

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 65519 and 65531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65519 and 65531, than apply into the LCM equation.

GCF(65519,65531) = 1
LCM(65519,65531) = ( 65519 × 65531) / 1
LCM(65519,65531) = 4293525589 / 1
LCM(65519,65531) = 4293525589

Least Common Multiple (LCM) of 65519 and 65531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65519 and 65531. First we will calculate the prime factors of 65519 and 65531.

Prime Factorization of 65519

Prime Factorization of 65531

Now multiplying the highest exponent prime factors to calculate the LCM of 65519 and 65531.

LCM(65519,65531) = 65519¹ × 19¹ × 3449¹
LCM(65519,65531) = 4293525589