What is the Least Common Multiple of 25284 and 25294?

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 25294 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 25294, than apply into the LCM equation.

GCF(25284,25294) = 2
LCM(25284,25294) = ( 25284 × 25294) / 2
LCM(25284,25294) = 639533496 / 2
LCM(25284,25294) = 319766748

Least Common Multiple (LCM) of 25284 and 25294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25284 and 25294. First we will calculate the prime factors of 25284 and 25294.

Prime Factorization of 25284

Prime Factorization of 25294

Now multiplying the highest exponent prime factors to calculate the LCM of 25284 and 25294.

LCM(25284,25294) = 2² × 3¹ × 7² × 43¹ × 12647¹
LCM(25284,25294) = 319766748