What is the Least Common Multiple of 25458 and 25477?

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 25458 and 25477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25458 and 25477, than apply into the LCM equation.

GCF(25458,25477) = 1
LCM(25458,25477) = ( 25458 × 25477) / 1
LCM(25458,25477) = 648593466 / 1
LCM(25458,25477) = 648593466

Least Common Multiple (LCM) of 25458 and 25477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25458 and 25477. First we will calculate the prime factors of 25458 and 25477.

Prime Factorization of 25458

Prime Factorization of 25477

Now multiplying the highest exponent prime factors to calculate the LCM of 25458 and 25477.

LCM(25458,25477) = 2¹ × 3¹ × 4243¹ × 73¹ × 349¹
LCM(25458,25477) = 648593466