What is the Least Common Multiple of 12784 and 12792?

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 12784 and 12792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12784 and 12792, than apply into the LCM equation.

GCF(12784,12792) = 8
LCM(12784,12792) = ( 12784 × 12792) / 8
LCM(12784,12792) = 163532928 / 8
LCM(12784,12792) = 20441616

Least Common Multiple (LCM) of 12784 and 12792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12784 and 12792. First we will calculate the prime factors of 12784 and 12792.

Prime Factorization of 12784

Prime Factorization of 12792

Now multiplying the highest exponent prime factors to calculate the LCM of 12784 and 12792.

LCM(12784,12792) = 2⁴ × 17¹ × 47¹ × 3¹ × 13¹ × 41¹
LCM(12784,12792) = 20441616