What is the Least Common Multiple of 26335 and 26344?

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 26335 and 26344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26335 and 26344, than apply into the LCM equation.

GCF(26335,26344) = 1
LCM(26335,26344) = ( 26335 × 26344) / 1
LCM(26335,26344) = 693769240 / 1
LCM(26335,26344) = 693769240

Least Common Multiple (LCM) of 26335 and 26344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26335 and 26344. First we will calculate the prime factors of 26335 and 26344.

Prime Factorization of 26335

Prime Factorization of 26344

Now multiplying the highest exponent prime factors to calculate the LCM of 26335 and 26344.

LCM(26335,26344) = 5¹ × 23¹ × 229¹ × 2³ × 37¹ × 89¹
LCM(26335,26344) = 693769240