What is the Least Common Multiple of 26784 and 26791?

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 26791 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 26791, than apply into the LCM equation.

GCF(26784,26791) = 1
LCM(26784,26791) = ( 26784 × 26791) / 1
LCM(26784,26791) = 717570144 / 1
LCM(26784,26791) = 717570144

Least Common Multiple (LCM) of 26784 and 26791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26784 and 26791. First we will calculate the prime factors of 26784 and 26791.

Prime Factorization of 26784

Prime Factorization of 26791

Now multiplying the highest exponent prime factors to calculate the LCM of 26784 and 26791.

LCM(26784,26791) = 2⁵ × 3³ × 31¹ × 73¹ × 367¹
LCM(26784,26791) = 717570144