What is the Least Common Multiple of 17876 and 17883?

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 17876 and 17883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17876 and 17883, than apply into the LCM equation.

GCF(17876,17883) = 1
LCM(17876,17883) = ( 17876 × 17883) / 1
LCM(17876,17883) = 319676508 / 1
LCM(17876,17883) = 319676508

Least Common Multiple (LCM) of 17876 and 17883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17876 and 17883. First we will calculate the prime factors of 17876 and 17883.

Prime Factorization of 17876

Prime Factorization of 17883

Now multiplying the highest exponent prime factors to calculate the LCM of 17876 and 17883.

LCM(17876,17883) = 2² × 41¹ × 109¹ × 3² × 1987¹
LCM(17876,17883) = 319676508