What is the Least Common Multiple of 25296 and 25306?

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 25296 and 25306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25296 and 25306, than apply into the LCM equation.

GCF(25296,25306) = 2
LCM(25296,25306) = ( 25296 × 25306) / 2
LCM(25296,25306) = 640140576 / 2
LCM(25296,25306) = 320070288

Least Common Multiple (LCM) of 25296 and 25306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25296 and 25306. First we will calculate the prime factors of 25296 and 25306.

Prime Factorization of 25296

Prime Factorization of 25306

Now multiplying the highest exponent prime factors to calculate the LCM of 25296 and 25306.

LCM(25296,25306) = 2⁴ × 3¹ × 17¹ × 31¹ × 12653¹
LCM(25296,25306) = 320070288