What is the Least Common Multiple of 26346 and 26364?

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 26346 and 26364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26346 and 26364, than apply into the LCM equation.

GCF(26346,26364) = 6
LCM(26346,26364) = ( 26346 × 26364) / 6
LCM(26346,26364) = 694585944 / 6
LCM(26346,26364) = 115764324

Least Common Multiple (LCM) of 26346 and 26364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26346 and 26364. First we will calculate the prime factors of 26346 and 26364.

Prime Factorization of 26346

Prime Factorization of 26364

Now multiplying the highest exponent prime factors to calculate the LCM of 26346 and 26364.

LCM(26346,26364) = 2² × 3¹ × 4391¹ × 13³
LCM(26346,26364) = 115764324