What is the Least Common Multiple of 26149 and 26167?

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 26149 and 26167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26149 and 26167, than apply into the LCM equation.

GCF(26149,26167) = 1
LCM(26149,26167) = ( 26149 × 26167) / 1
LCM(26149,26167) = 684240883 / 1
LCM(26149,26167) = 684240883

Least Common Multiple (LCM) of 26149 and 26167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26149 and 26167. First we will calculate the prime factors of 26149 and 26167.

Prime Factorization of 26149

Prime Factorization of 26167

Now multiplying the highest exponent prime factors to calculate the LCM of 26149 and 26167.

LCM(26149,26167) = 79¹ × 331¹ × 137¹ × 191¹
LCM(26149,26167) = 684240883