What is the Least Common Multiple of 26597 and 26616?

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 26597 and 26616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26597 and 26616, than apply into the LCM equation.

GCF(26597,26616) = 1
LCM(26597,26616) = ( 26597 × 26616) / 1
LCM(26597,26616) = 707905752 / 1
LCM(26597,26616) = 707905752

Least Common Multiple (LCM) of 26597 and 26616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26597 and 26616. First we will calculate the prime factors of 26597 and 26616.

Prime Factorization of 26597

Prime Factorization of 26616

Now multiplying the highest exponent prime factors to calculate the LCM of 26597 and 26616.

LCM(26597,26616) = 26597¹ × 2³ × 3¹ × 1109¹
LCM(26597,26616) = 707905752