What is the Least Common Multiple of 25896 and 25912?

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 25912 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 25912, than apply into the LCM equation.

GCF(25896,25912) = 8
LCM(25896,25912) = ( 25896 × 25912) / 8
LCM(25896,25912) = 671017152 / 8
LCM(25896,25912) = 83877144

Least Common Multiple (LCM) of 25896 and 25912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25896 and 25912. First we will calculate the prime factors of 25896 and 25912.

Prime Factorization of 25896

Prime Factorization of 25912

Now multiplying the highest exponent prime factors to calculate the LCM of 25896 and 25912.

LCM(25896,25912) = 2³ × 3¹ × 13¹ × 83¹ × 41¹ × 79¹
LCM(25896,25912) = 83877144