What is the Least Common Multiple of 25472 and 25484?

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 25472 and 25484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25472 and 25484, than apply into the LCM equation.

GCF(25472,25484) = 4
LCM(25472,25484) = ( 25472 × 25484) / 4
LCM(25472,25484) = 649128448 / 4
LCM(25472,25484) = 162282112

Least Common Multiple (LCM) of 25472 and 25484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25472 and 25484. First we will calculate the prime factors of 25472 and 25484.

Prime Factorization of 25472

Prime Factorization of 25484

Now multiplying the highest exponent prime factors to calculate the LCM of 25472 and 25484.

LCM(25472,25484) = 2⁷ × 199¹ × 23¹ × 277¹
LCM(25472,25484) = 162282112