What is the Least Common Multiple of 10982 and 10999?

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 10982 and 10999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10982 and 10999, than apply into the LCM equation.

GCF(10982,10999) = 17
LCM(10982,10999) = ( 10982 × 10999) / 17
LCM(10982,10999) = 120791018 / 17
LCM(10982,10999) = 7105354

Least Common Multiple (LCM) of 10982 and 10999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10982 and 10999. First we will calculate the prime factors of 10982 and 10999.

Prime Factorization of 10982

Prime Factorization of 10999

Now multiplying the highest exponent prime factors to calculate the LCM of 10982 and 10999.

LCM(10982,10999) = 2¹ × 17² × 19¹ × 647¹
LCM(10982,10999) = 7105354