What is the Least Common Multiple of 25125 and 25144?

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 25125 and 25144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25125 and 25144, than apply into the LCM equation.

GCF(25125,25144) = 1
LCM(25125,25144) = ( 25125 × 25144) / 1
LCM(25125,25144) = 631743000 / 1
LCM(25125,25144) = 631743000

Least Common Multiple (LCM) of 25125 and 25144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25125 and 25144. First we will calculate the prime factors of 25125 and 25144.

Prime Factorization of 25125

Prime Factorization of 25144

Now multiplying the highest exponent prime factors to calculate the LCM of 25125 and 25144.

LCM(25125,25144) = 3¹ × 5³ × 67¹ × 2³ × 7¹ × 449¹
LCM(25125,25144) = 631743000