What is the Least Common Multiple of 26861 and 26879?

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 26861 and 26879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26861 and 26879, than apply into the LCM equation.

GCF(26861,26879) = 1
LCM(26861,26879) = ( 26861 × 26879) / 1
LCM(26861,26879) = 721996819 / 1
LCM(26861,26879) = 721996819

Least Common Multiple (LCM) of 26861 and 26879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26861 and 26879. First we will calculate the prime factors of 26861 and 26879.

Prime Factorization of 26861

Prime Factorization of 26879

Now multiplying the highest exponent prime factors to calculate the LCM of 26861 and 26879.

LCM(26861,26879) = 26861¹ × 26879¹
LCM(26861,26879) = 721996819