What is the Least Common Multiple of 25284 and 25296?

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 25284 and 25296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25284 and 25296, than apply into the LCM equation.

GCF(25284,25296) = 12
LCM(25284,25296) = ( 25284 × 25296) / 12
LCM(25284,25296) = 639584064 / 12
LCM(25284,25296) = 53298672

Least Common Multiple (LCM) of 25284 and 25296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25284 and 25296. First we will calculate the prime factors of 25284 and 25296.

Prime Factorization of 25284

Prime Factorization of 25296

Now multiplying the highest exponent prime factors to calculate the LCM of 25284 and 25296.

LCM(25284,25296) = 2⁴ × 3¹ × 7² × 43¹ × 17¹ × 31¹
LCM(25284,25296) = 53298672