What is the Least Common Multiple of 26289 and 26304?

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 26289 and 26304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26289 and 26304, than apply into the LCM equation.

GCF(26289,26304) = 3
LCM(26289,26304) = ( 26289 × 26304) / 3
LCM(26289,26304) = 691505856 / 3
LCM(26289,26304) = 230501952

Least Common Multiple (LCM) of 26289 and 26304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26289 and 26304. First we will calculate the prime factors of 26289 and 26304.

Prime Factorization of 26289

Prime Factorization of 26304

Now multiplying the highest exponent prime factors to calculate the LCM of 26289 and 26304.

LCM(26289,26304) = 3² × 23¹ × 127¹ × 2⁶ × 137¹
LCM(26289,26304) = 230501952