What is the Least Common Multiple of 26809 and 26827?

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 26809 and 26827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26809 and 26827, than apply into the LCM equation.

GCF(26809,26827) = 1
LCM(26809,26827) = ( 26809 × 26827) / 1
LCM(26809,26827) = 719205043 / 1
LCM(26809,26827) = 719205043

Least Common Multiple (LCM) of 26809 and 26827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26809 and 26827. First we will calculate the prime factors of 26809 and 26827.

Prime Factorization of 26809

Prime Factorization of 26827

Now multiplying the highest exponent prime factors to calculate the LCM of 26809 and 26827.

LCM(26809,26827) = 17¹ × 19¹ × 83¹ × 139¹ × 193¹
LCM(26809,26827) = 719205043