What is the Least Common Multiple of 25997 and 26013?

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 26013 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 26013, than apply into the LCM equation.

GCF(25997,26013) = 1
LCM(25997,26013) = ( 25997 × 26013) / 1
LCM(25997,26013) = 676259961 / 1
LCM(25997,26013) = 676259961

Least Common Multiple (LCM) of 25997 and 26013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25997 and 26013. First we will calculate the prime factors of 25997 and 26013.

Prime Factorization of 25997

Prime Factorization of 26013

Now multiplying the highest exponent prime factors to calculate the LCM of 25997 and 26013.

LCM(25997,26013) = 25997¹ × 3¹ × 13¹ × 23¹ × 29¹
LCM(25997,26013) = 676259961