What is the Least Common Multiple of 25944 and 25953?

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 25944 and 25953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25944 and 25953, than apply into the LCM equation.

GCF(25944,25953) = 3
LCM(25944,25953) = ( 25944 × 25953) / 3
LCM(25944,25953) = 673324632 / 3
LCM(25944,25953) = 224441544

Least Common Multiple (LCM) of 25944 and 25953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25944 and 25953. First we will calculate the prime factors of 25944 and 25953.

Prime Factorization of 25944

Prime Factorization of 25953

Now multiplying the highest exponent prime factors to calculate the LCM of 25944 and 25953.

LCM(25944,25953) = 2³ × 3¹ × 23¹ × 47¹ × 41¹ × 211¹
LCM(25944,25953) = 224441544