What is the Least Common Multiple of 26304 and 26314?

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 26314 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 26314, than apply into the LCM equation.

GCF(26304,26314) = 2
LCM(26304,26314) = ( 26304 × 26314) / 2
LCM(26304,26314) = 692163456 / 2
LCM(26304,26314) = 346081728

Least Common Multiple (LCM) of 26304 and 26314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26304 and 26314. First we will calculate the prime factors of 26304 and 26314.

Prime Factorization of 26304

Prime Factorization of 26314

Now multiplying the highest exponent prime factors to calculate the LCM of 26304 and 26314.

LCM(26304,26314) = 2⁶ × 3¹ × 137¹ × 59¹ × 223¹
LCM(26304,26314) = 346081728