What is the Least Common Multiple of 26339 and 26349?

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 26339 and 26349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26339 and 26349, than apply into the LCM equation.

GCF(26339,26349) = 1
LCM(26339,26349) = ( 26339 × 26349) / 1
LCM(26339,26349) = 694006311 / 1
LCM(26339,26349) = 694006311

Least Common Multiple (LCM) of 26339 and 26349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26339 and 26349. First we will calculate the prime factors of 26339 and 26349.

Prime Factorization of 26339

Prime Factorization of 26349

Now multiplying the highest exponent prime factors to calculate the LCM of 26339 and 26349.

LCM(26339,26349) = 26339¹ × 3¹ × 8783¹
LCM(26339,26349) = 694006311