What is the Least Common Multiple of 25896 and 25908?

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 25896 and 25908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25896 and 25908, than apply into the LCM equation.

GCF(25896,25908) = 12
LCM(25896,25908) = ( 25896 × 25908) / 12
LCM(25896,25908) = 670913568 / 12
LCM(25896,25908) = 55909464

Least Common Multiple (LCM) of 25896 and 25908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25896 and 25908. First we will calculate the prime factors of 25896 and 25908.

Prime Factorization of 25896

Prime Factorization of 25908

Now multiplying the highest exponent prime factors to calculate the LCM of 25896 and 25908.

LCM(25896,25908) = 2³ × 3¹ × 13¹ × 83¹ × 17¹ × 127¹
LCM(25896,25908) = 55909464