What is the Least Common Multiple of 26814 and 26826?

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 26814 and 26826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26814 and 26826, than apply into the LCM equation.

GCF(26814,26826) = 6
LCM(26814,26826) = ( 26814 × 26826) / 6
LCM(26814,26826) = 719312364 / 6
LCM(26814,26826) = 119885394

Least Common Multiple (LCM) of 26814 and 26826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26814 and 26826. First we will calculate the prime factors of 26814 and 26826.

Prime Factorization of 26814

Prime Factorization of 26826

Now multiplying the highest exponent prime factors to calculate the LCM of 26814 and 26826.

LCM(26814,26826) = 2¹ × 3¹ × 41¹ × 109¹ × 17¹ × 263¹
LCM(26814,26826) = 119885394