What is the Least Common Multiple of 25468 and 25487?

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 25468 and 25487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25468 and 25487, than apply into the LCM equation.

GCF(25468,25487) = 1
LCM(25468,25487) = ( 25468 × 25487) / 1
LCM(25468,25487) = 649102916 / 1
LCM(25468,25487) = 649102916

Least Common Multiple (LCM) of 25468 and 25487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25468 and 25487. First we will calculate the prime factors of 25468 and 25487.

Prime Factorization of 25468

Prime Factorization of 25487

Now multiplying the highest exponent prime factors to calculate the LCM of 25468 and 25487.

LCM(25468,25487) = 2² × 6367¹ × 7¹ × 11¹ × 331¹
LCM(25468,25487) = 649102916