What is the Least Common Multiple of 25296 and 25307?

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 25307 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 25307, than apply into the LCM equation.

GCF(25296,25307) = 1
LCM(25296,25307) = ( 25296 × 25307) / 1
LCM(25296,25307) = 640165872 / 1
LCM(25296,25307) = 640165872

Least Common Multiple (LCM) of 25296 and 25307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25296 and 25307. First we will calculate the prime factors of 25296 and 25307.

Prime Factorization of 25296

Prime Factorization of 25307

Now multiplying the highest exponent prime factors to calculate the LCM of 25296 and 25307.

LCM(25296,25307) = 2⁴ × 3¹ × 17¹ × 31¹ × 25307¹
LCM(25296,25307) = 640165872