What is the Least Common Multiple of 26278 and 26289?

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 26278 and 26289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26278 and 26289, than apply into the LCM equation.

GCF(26278,26289) = 1
LCM(26278,26289) = ( 26278 × 26289) / 1
LCM(26278,26289) = 690822342 / 1
LCM(26278,26289) = 690822342

Least Common Multiple (LCM) of 26278 and 26289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26278 and 26289. First we will calculate the prime factors of 26278 and 26289.

Prime Factorization of 26278

Prime Factorization of 26289

Now multiplying the highest exponent prime factors to calculate the LCM of 26278 and 26289.

LCM(26278,26289) = 2¹ × 7¹ × 1877¹ × 3² × 23¹ × 127¹
LCM(26278,26289) = 690822342