What is the Least Common Multiple of 25138 and 25148?

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 25138 and 25148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25138 and 25148, than apply into the LCM equation.

GCF(25138,25148) = 2
LCM(25138,25148) = ( 25138 × 25148) / 2
LCM(25138,25148) = 632170424 / 2
LCM(25138,25148) = 316085212

Least Common Multiple (LCM) of 25138 and 25148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25138 and 25148. First we will calculate the prime factors of 25138 and 25148.

Prime Factorization of 25138

Prime Factorization of 25148

Now multiplying the highest exponent prime factors to calculate the LCM of 25138 and 25148.

LCM(25138,25148) = 2² × 12569¹ × 6287¹
LCM(25138,25148) = 316085212