What is the Least Common Multiple of 25997 and 26008?

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 25997 and 26008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25997 and 26008, than apply into the LCM equation.

GCF(25997,26008) = 1
LCM(25997,26008) = ( 25997 × 26008) / 1
LCM(25997,26008) = 676129976 / 1
LCM(25997,26008) = 676129976

Least Common Multiple (LCM) of 25997 and 26008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25997 and 26008. First we will calculate the prime factors of 25997 and 26008.

Prime Factorization of 25997

Prime Factorization of 26008

Now multiplying the highest exponent prime factors to calculate the LCM of 25997 and 26008.

LCM(25997,26008) = 25997¹ × 2³ × 3251¹
LCM(25997,26008) = 676129976