What is the Least Common Multiple of 26344 and 26359?

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 26344 and 26359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26344 and 26359, than apply into the LCM equation.

GCF(26344,26359) = 1
LCM(26344,26359) = ( 26344 × 26359) / 1
LCM(26344,26359) = 694401496 / 1
LCM(26344,26359) = 694401496

Least Common Multiple (LCM) of 26344 and 26359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26344 and 26359. First we will calculate the prime factors of 26344 and 26359.

Prime Factorization of 26344

Prime Factorization of 26359

Now multiplying the highest exponent prime factors to calculate the LCM of 26344 and 26359.

LCM(26344,26359) = 2³ × 37¹ × 89¹ × 43¹ × 613¹
LCM(26344,26359) = 694401496