GCF and LCM Calculator Logo

What is the Least Common Multiple of 10983 and 11000?

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 (LCM) of 10983 and 11000 is 120813000.

LCM(10983,11000) = 120813000

LCM Calculator and
and

Least Common Multiple of 10983 and 11000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10983 and 11000, than apply into the LCM equation.

GCF(10983,11000) = 1
LCM(10983,11000) = ( 10983 × 11000) / 1
LCM(10983,11000) = 120813000 / 1
LCM(10983,11000) = 120813000

Least Common Multiple (LCM) of 10983 and 11000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10983 and 11000. First we will calculate the prime factors of 10983 and 11000.

Prime Factorization of 10983

Prime factors of 10983 are 3, 7, 523. Prime factorization of 10983 in exponential form is:

10983 = 31 × 71 × 5231

Prime Factorization of 11000

Prime factors of 11000 are 2, 5, 11. Prime factorization of 11000 in exponential form is:

11000 = 23 × 53 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 10983 and 11000.

LCM(10983,11000) = 31 × 71 × 5231 × 23 × 53 × 111
LCM(10983,11000) = 120813000