What is the Least Common Multiple of 17782 and 17799?

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 17782 and 17799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17782 and 17799, than apply into the LCM equation.

GCF(17782,17799) = 17
LCM(17782,17799) = ( 17782 × 17799) / 17
LCM(17782,17799) = 316501818 / 17
LCM(17782,17799) = 18617754

Least Common Multiple (LCM) of 17782 and 17799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17782 and 17799. First we will calculate the prime factors of 17782 and 17799.

Prime Factorization of 17782

Prime Factorization of 17799

Now multiplying the highest exponent prime factors to calculate the LCM of 17782 and 17799.

LCM(17782,17799) = 2¹ × 17¹ × 523¹ × 3¹ × 349¹
LCM(17782,17799) = 18617754