What is the Least Common Multiple of 26782 and 26796?

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 26782 and 26796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26782 and 26796, than apply into the LCM equation.

GCF(26782,26796) = 14
LCM(26782,26796) = ( 26782 × 26796) / 14
LCM(26782,26796) = 717650472 / 14
LCM(26782,26796) = 51260748

Least Common Multiple (LCM) of 26782 and 26796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26782 and 26796. First we will calculate the prime factors of 26782 and 26796.

Prime Factorization of 26782

Prime Factorization of 26796

Now multiplying the highest exponent prime factors to calculate the LCM of 26782 and 26796.

LCM(26782,26796) = 2² × 7¹ × 1913¹ × 3¹ × 11¹ × 29¹
LCM(26782,26796) = 51260748