What is the Least Common Multiple of 25538 and 25544?

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 25538 and 25544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25538 and 25544, than apply into the LCM equation.

GCF(25538,25544) = 2
LCM(25538,25544) = ( 25538 × 25544) / 2
LCM(25538,25544) = 652342672 / 2
LCM(25538,25544) = 326171336

Least Common Multiple (LCM) of 25538 and 25544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25538 and 25544. First we will calculate the prime factors of 25538 and 25544.

Prime Factorization of 25538

Prime Factorization of 25544

Now multiplying the highest exponent prime factors to calculate the LCM of 25538 and 25544.

LCM(25538,25544) = 2³ × 113² × 31¹ × 103¹
LCM(25538,25544) = 326171336