What is the Least Common Multiple of 25296 and 25304?

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 25304 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 25304, than apply into the LCM equation.

GCF(25296,25304) = 8
LCM(25296,25304) = ( 25296 × 25304) / 8
LCM(25296,25304) = 640089984 / 8
LCM(25296,25304) = 80011248

Least Common Multiple (LCM) of 25296 and 25304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25296 and 25304. First we will calculate the prime factors of 25296 and 25304.

Prime Factorization of 25296

Prime Factorization of 25304

Now multiplying the highest exponent prime factors to calculate the LCM of 25296 and 25304.

LCM(25296,25304) = 2⁴ × 3¹ × 17¹ × 31¹ × 3163¹
LCM(25296,25304) = 80011248