What is the Least Common Multiple of 17783 and 17798?

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 17783 and 17798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17783 and 17798, than apply into the LCM equation.

GCF(17783,17798) = 1
LCM(17783,17798) = ( 17783 × 17798) / 1
LCM(17783,17798) = 316501834 / 1
LCM(17783,17798) = 316501834

Least Common Multiple (LCM) of 17783 and 17798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17783 and 17798. First we will calculate the prime factors of 17783 and 17798.

Prime Factorization of 17783

Prime Factorization of 17798

Now multiplying the highest exponent prime factors to calculate the LCM of 17783 and 17798.

LCM(17783,17798) = 17783¹ × 2¹ × 11¹ × 809¹
LCM(17783,17798) = 316501834