What is the Least Common Multiple of 25991 and 26001?

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 25991 and 26001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25991 and 26001, than apply into the LCM equation.

GCF(25991,26001) = 1
LCM(25991,26001) = ( 25991 × 26001) / 1
LCM(25991,26001) = 675791991 / 1
LCM(25991,26001) = 675791991

Least Common Multiple (LCM) of 25991 and 26001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25991 and 26001. First we will calculate the prime factors of 25991 and 26001.

Prime Factorization of 25991

Prime Factorization of 26001

Now multiplying the highest exponent prime factors to calculate the LCM of 25991 and 26001.

LCM(25991,26001) = 7¹ × 47¹ × 79¹ × 3⁵ × 107¹
LCM(25991,26001) = 675791991