What is the Least Common Multiple of 26889 and 26909?

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 26889 and 26909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26889 and 26909, than apply into the LCM equation.

GCF(26889,26909) = 1
LCM(26889,26909) = ( 26889 × 26909) / 1
LCM(26889,26909) = 723556101 / 1
LCM(26889,26909) = 723556101

Least Common Multiple (LCM) of 26889 and 26909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26889 and 26909. First we will calculate the prime factors of 26889 and 26909.

Prime Factorization of 26889

Prime Factorization of 26909

Now multiplying the highest exponent prime factors to calculate the LCM of 26889 and 26909.

LCM(26889,26909) = 3¹ × 8963¹ × 71¹ × 379¹
LCM(26889,26909) = 723556101