What is the Least Common Multiple of 25126 and 25143?

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 25126 and 25143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25126 and 25143, than apply into the LCM equation.

GCF(25126,25143) = 17
LCM(25126,25143) = ( 25126 × 25143) / 17
LCM(25126,25143) = 631743018 / 17
LCM(25126,25143) = 37161354

Least Common Multiple (LCM) of 25126 and 25143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25126 and 25143. First we will calculate the prime factors of 25126 and 25143.

Prime Factorization of 25126

Prime Factorization of 25143

Now multiplying the highest exponent prime factors to calculate the LCM of 25126 and 25143.

LCM(25126,25143) = 2¹ × 17² × 739¹ × 3¹ × 29¹
LCM(25126,25143) = 37161354