What is the Least Common Multiple of 13808 and 13826?

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 13808 and 13826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13808 and 13826, than apply into the LCM equation.

GCF(13808,13826) = 2
LCM(13808,13826) = ( 13808 × 13826) / 2
LCM(13808,13826) = 190909408 / 2
LCM(13808,13826) = 95454704

Least Common Multiple (LCM) of 13808 and 13826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13808 and 13826. First we will calculate the prime factors of 13808 and 13826.

Prime Factorization of 13808

Prime Factorization of 13826

Now multiplying the highest exponent prime factors to calculate the LCM of 13808 and 13826.

LCM(13808,13826) = 2⁴ × 863¹ × 31¹ × 223¹
LCM(13808,13826) = 95454704