What is the Least Common Multiple of 10784 and 10793?

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 10784 and 10793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10784 and 10793, than apply into the LCM equation.

GCF(10784,10793) = 1
LCM(10784,10793) = ( 10784 × 10793) / 1
LCM(10784,10793) = 116391712 / 1
LCM(10784,10793) = 116391712

Least Common Multiple (LCM) of 10784 and 10793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10784 and 10793. First we will calculate the prime factors of 10784 and 10793.

Prime Factorization of 10784

Prime Factorization of 10793

Now multiplying the highest exponent prime factors to calculate the LCM of 10784 and 10793.

LCM(10784,10793) = 2⁵ × 337¹ × 43¹ × 251¹
LCM(10784,10793) = 116391712