What is the Least Common Multiple of 26784 and 26797?

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 26797 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 26797, than apply into the LCM equation.

GCF(26784,26797) = 1
LCM(26784,26797) = ( 26784 × 26797) / 1
LCM(26784,26797) = 717730848 / 1
LCM(26784,26797) = 717730848

Least Common Multiple (LCM) of 26784 and 26797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26784 and 26797. First we will calculate the prime factors of 26784 and 26797.

Prime Factorization of 26784

Prime Factorization of 26797

Now multiplying the highest exponent prime factors to calculate the LCM of 26784 and 26797.

LCM(26784,26797) = 2⁵ × 3³ × 31¹ × 127¹ × 211¹
LCM(26784,26797) = 717730848