What is the Least Common Multiple of 26689 and 26699?

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 26689 and 26699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26689 and 26699, than apply into the LCM equation.

GCF(26689,26699) = 1
LCM(26689,26699) = ( 26689 × 26699) / 1
LCM(26689,26699) = 712569611 / 1
LCM(26689,26699) = 712569611

Least Common Multiple (LCM) of 26689 and 26699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26689 and 26699. First we will calculate the prime factors of 26689 and 26699.

Prime Factorization of 26689

Prime Factorization of 26699

Now multiplying the highest exponent prime factors to calculate the LCM of 26689 and 26699.

LCM(26689,26699) = 13¹ × 2053¹ × 26699¹
LCM(26689,26699) = 712569611