What is the Least Common Multiple of 10784 and 10790?

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 10790 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 10790, than apply into the LCM equation.

GCF(10784,10790) = 2
LCM(10784,10790) = ( 10784 × 10790) / 2
LCM(10784,10790) = 116359360 / 2
LCM(10784,10790) = 58179680

Least Common Multiple (LCM) of 10784 and 10790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10784 and 10790. First we will calculate the prime factors of 10784 and 10790.

Prime Factorization of 10784

Prime Factorization of 10790

Now multiplying the highest exponent prime factors to calculate the LCM of 10784 and 10790.

LCM(10784,10790) = 2⁵ × 337¹ × 5¹ × 13¹ × 83¹
LCM(10784,10790) = 58179680