What is the Least Common Multiple of 26304 and 26322?

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 26322 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 26322, than apply into the LCM equation.

GCF(26304,26322) = 6
LCM(26304,26322) = ( 26304 × 26322) / 6
LCM(26304,26322) = 692373888 / 6
LCM(26304,26322) = 115395648

Least Common Multiple (LCM) of 26304 and 26322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26304 and 26322. First we will calculate the prime factors of 26304 and 26322.

Prime Factorization of 26304

Prime Factorization of 26322

Now multiplying the highest exponent prime factors to calculate the LCM of 26304 and 26322.

LCM(26304,26322) = 2⁶ × 3¹ × 137¹ × 41¹ × 107¹
LCM(26304,26322) = 115395648