GCF and LCM Calculator Logo

What is the Least Common Multiple of 17985 and 17991?

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 17985 and 17991 is 107856045.

LCM(17985,17991) = 107856045

LCM Calculator and
and

Least Common Multiple of 17985 and 17991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17985 and 17991, than apply into the LCM equation.

GCF(17985,17991) = 3
LCM(17985,17991) = ( 17985 × 17991) / 3
LCM(17985,17991) = 323568135 / 3
LCM(17985,17991) = 107856045

Least Common Multiple (LCM) of 17985 and 17991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17985 and 17991. First we will calculate the prime factors of 17985 and 17991.

Prime Factorization of 17985

Prime factors of 17985 are 3, 5, 11, 109. Prime factorization of 17985 in exponential form is:

17985 = 31 × 51 × 111 × 1091

Prime Factorization of 17991

Prime factors of 17991 are 3, 1999. Prime factorization of 17991 in exponential form is:

17991 = 32 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 17985 and 17991.

LCM(17985,17991) = 32 × 51 × 111 × 1091 × 19991
LCM(17985,17991) = 107856045