What is the Least Common Multiple of 26586 and 26592?

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 26586 and 26592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26586 and 26592, than apply into the LCM equation.

GCF(26586,26592) = 6
LCM(26586,26592) = ( 26586 × 26592) / 6
LCM(26586,26592) = 706974912 / 6
LCM(26586,26592) = 117829152

Least Common Multiple (LCM) of 26586 and 26592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26586 and 26592. First we will calculate the prime factors of 26586 and 26592.

Prime Factorization of 26586

Prime Factorization of 26592

Now multiplying the highest exponent prime factors to calculate the LCM of 26586 and 26592.

LCM(26586,26592) = 2⁵ × 3² × 7¹ × 211¹ × 277¹
LCM(26586,26592) = 117829152