What is the Least Common Multiple of 26304 and 26319?

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 26304 and 26319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26304 and 26319, than apply into the LCM equation.

GCF(26304,26319) = 3
LCM(26304,26319) = ( 26304 × 26319) / 3
LCM(26304,26319) = 692294976 / 3
LCM(26304,26319) = 230764992

Least Common Multiple (LCM) of 26304 and 26319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26304 and 26319. First we will calculate the prime factors of 26304 and 26319.

Prime Factorization of 26304

Prime Factorization of 26319

Now multiplying the highest exponent prime factors to calculate the LCM of 26304 and 26319.

LCM(26304,26319) = 2⁶ × 3¹ × 137¹ × 31¹ × 283¹
LCM(26304,26319) = 230764992