What is the Least Common Multiple of 25120 and 25126?

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 25120 and 25126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25120 and 25126, than apply into the LCM equation.

GCF(25120,25126) = 2
LCM(25120,25126) = ( 25120 × 25126) / 2
LCM(25120,25126) = 631165120 / 2
LCM(25120,25126) = 315582560

Least Common Multiple (LCM) of 25120 and 25126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25120 and 25126. First we will calculate the prime factors of 25120 and 25126.

Prime Factorization of 25120

Prime Factorization of 25126

Now multiplying the highest exponent prime factors to calculate the LCM of 25120 and 25126.

LCM(25120,25126) = 2⁵ × 5¹ × 157¹ × 17¹ × 739¹
LCM(25120,25126) = 315582560