What is the Least Common Multiple of 26378 and 26397?

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 26378 and 26397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26378 and 26397, than apply into the LCM equation.

GCF(26378,26397) = 1
LCM(26378,26397) = ( 26378 × 26397) / 1
LCM(26378,26397) = 696300066 / 1
LCM(26378,26397) = 696300066

Least Common Multiple (LCM) of 26378 and 26397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26378 and 26397. First we will calculate the prime factors of 26378 and 26397.

Prime Factorization of 26378

Prime Factorization of 26397

Now multiplying the highest exponent prime factors to calculate the LCM of 26378 and 26397.

LCM(26378,26397) = 2¹ × 11² × 109¹ × 3² × 7¹ × 419¹
LCM(26378,26397) = 696300066