What is the Least Common Multiple of 26801 and 26809?

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 26801 and 26809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26801 and 26809, than apply into the LCM equation.

GCF(26801,26809) = 1
LCM(26801,26809) = ( 26801 × 26809) / 1
LCM(26801,26809) = 718508009 / 1
LCM(26801,26809) = 718508009

Least Common Multiple (LCM) of 26801 and 26809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26801 and 26809. First we will calculate the prime factors of 26801 and 26809.

Prime Factorization of 26801

Prime Factorization of 26809

Now multiplying the highest exponent prime factors to calculate the LCM of 26801 and 26809.

LCM(26801,26809) = 26801¹ × 17¹ × 19¹ × 83¹
LCM(26801,26809) = 718508009