What is the Least Common Multiple of 25944 and 25956?

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 25956 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 25956, than apply into the LCM equation.

GCF(25944,25956) = 12
LCM(25944,25956) = ( 25944 × 25956) / 12
LCM(25944,25956) = 673402464 / 12
LCM(25944,25956) = 56116872

Least Common Multiple (LCM) of 25944 and 25956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25944 and 25956. First we will calculate the prime factors of 25944 and 25956.

Prime Factorization of 25944

Prime Factorization of 25956

Now multiplying the highest exponent prime factors to calculate the LCM of 25944 and 25956.

LCM(25944,25956) = 2³ × 3² × 23¹ × 47¹ × 7¹ × 103¹
LCM(25944,25956) = 56116872