What is the Least Common Multiple of 26784 and 26804?

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 26784 and 26804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26784 and 26804, than apply into the LCM equation.

GCF(26784,26804) = 4
LCM(26784,26804) = ( 26784 × 26804) / 4
LCM(26784,26804) = 717918336 / 4
LCM(26784,26804) = 179479584

Least Common Multiple (LCM) of 26784 and 26804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26784 and 26804. First we will calculate the prime factors of 26784 and 26804.

Prime Factorization of 26784

Prime Factorization of 26804

Now multiplying the highest exponent prime factors to calculate the LCM of 26784 and 26804.

LCM(26784,26804) = 2⁵ × 3³ × 31¹ × 6701¹
LCM(26784,26804) = 179479584