What is the Least Common Multiple of 25296 and 25316?

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 25316 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 25316, than apply into the LCM equation.

GCF(25296,25316) = 4
LCM(25296,25316) = ( 25296 × 25316) / 4
LCM(25296,25316) = 640393536 / 4
LCM(25296,25316) = 160098384

Least Common Multiple (LCM) of 25296 and 25316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25296 and 25316. First we will calculate the prime factors of 25296 and 25316.

Prime Factorization of 25296

Prime Factorization of 25316

Now multiplying the highest exponent prime factors to calculate the LCM of 25296 and 25316.

LCM(25296,25316) = 2⁴ × 3¹ × 17¹ × 31¹ × 6329¹
LCM(25296,25316) = 160098384