What is the Least Common Multiple of 26139 and 26149?

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 26139 and 26149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26139 and 26149, than apply into the LCM equation.

GCF(26139,26149) = 1
LCM(26139,26149) = ( 26139 × 26149) / 1
LCM(26139,26149) = 683508711 / 1
LCM(26139,26149) = 683508711

Least Common Multiple (LCM) of 26139 and 26149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26139 and 26149. First we will calculate the prime factors of 26139 and 26149.

Prime Factorization of 26139

Prime Factorization of 26149

Now multiplying the highest exponent prime factors to calculate the LCM of 26139 and 26149.

LCM(26139,26149) = 3¹ × 8713¹ × 79¹ × 331¹
LCM(26139,26149) = 683508711