What is the Least Common Multiple of 25256 and 25267?

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 25256 and 25267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25256 and 25267, than apply into the LCM equation.

GCF(25256,25267) = 11
LCM(25256,25267) = ( 25256 × 25267) / 11
LCM(25256,25267) = 638143352 / 11
LCM(25256,25267) = 58013032

Least Common Multiple (LCM) of 25256 and 25267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25256 and 25267. First we will calculate the prime factors of 25256 and 25267.

Prime Factorization of 25256

Prime Factorization of 25267

Now multiplying the highest exponent prime factors to calculate the LCM of 25256 and 25267.

LCM(25256,25267) = 2³ × 7¹ × 11¹ × 41¹ × 2297¹
LCM(25256,25267) = 58013032