What is the Least Common Multiple of 26268 and 26283?

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 26268 and 26283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26268 and 26283, than apply into the LCM equation.

GCF(26268,26283) = 3
LCM(26268,26283) = ( 26268 × 26283) / 3
LCM(26268,26283) = 690401844 / 3
LCM(26268,26283) = 230133948

Least Common Multiple (LCM) of 26268 and 26283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26268 and 26283. First we will calculate the prime factors of 26268 and 26283.

Prime Factorization of 26268

Prime Factorization of 26283

Now multiplying the highest exponent prime factors to calculate the LCM of 26268 and 26283.

LCM(26268,26283) = 2² × 3¹ × 11¹ × 199¹ × 8761¹
LCM(26268,26283) = 230133948