What is the Least Common Multiple of 25296 and 25310?

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 25310 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 25310, than apply into the LCM equation.

GCF(25296,25310) = 2
LCM(25296,25310) = ( 25296 × 25310) / 2
LCM(25296,25310) = 640241760 / 2
LCM(25296,25310) = 320120880

Least Common Multiple (LCM) of 25296 and 25310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25296 and 25310. First we will calculate the prime factors of 25296 and 25310.

Prime Factorization of 25296

Prime Factorization of 25310

Now multiplying the highest exponent prime factors to calculate the LCM of 25296 and 25310.

LCM(25296,25310) = 2⁴ × 3¹ × 17¹ × 31¹ × 5¹ × 2531¹
LCM(25296,25310) = 320120880