What is the Least Common Multiple of 26404 and 26408?

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 26404 and 26408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26404 and 26408, than apply into the LCM equation.

GCF(26404,26408) = 4
LCM(26404,26408) = ( 26404 × 26408) / 4
LCM(26404,26408) = 697276832 / 4
LCM(26404,26408) = 174319208

Least Common Multiple (LCM) of 26404 and 26408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26404 and 26408. First we will calculate the prime factors of 26404 and 26408.

Prime Factorization of 26404

Prime Factorization of 26408

Now multiplying the highest exponent prime factors to calculate the LCM of 26404 and 26408.

LCM(26404,26408) = 2³ × 7¹ × 23¹ × 41¹ × 3301¹
LCM(26404,26408) = 174319208