What is the Least Common Multiple of 25519 and 25538?

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 25519 and 25538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25519 and 25538, than apply into the LCM equation.

GCF(25519,25538) = 1
LCM(25519,25538) = ( 25519 × 25538) / 1
LCM(25519,25538) = 651704222 / 1
LCM(25519,25538) = 651704222

Least Common Multiple (LCM) of 25519 and 25538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25519 and 25538. First we will calculate the prime factors of 25519 and 25538.

Prime Factorization of 25519

Prime Factorization of 25538

Now multiplying the highest exponent prime factors to calculate the LCM of 25519 and 25538.

LCM(25519,25538) = 13² × 151¹ × 2¹ × 113²
LCM(25519,25538) = 651704222