GCF and LCM Calculator Logo

What is the Least Common Multiple of 9853 and 9866?

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 9853 and 9866 is 97209698.

LCM(9853,9866) = 97209698

LCM Calculator and
and

Least Common Multiple of 9853 and 9866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9853 and 9866, than apply into the LCM equation.

GCF(9853,9866) = 1
LCM(9853,9866) = ( 9853 × 9866) / 1
LCM(9853,9866) = 97209698 / 1
LCM(9853,9866) = 97209698

Least Common Multiple (LCM) of 9853 and 9866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9853 and 9866. First we will calculate the prime factors of 9853 and 9866.

Prime Factorization of 9853

Prime factors of 9853 are 59, 167. Prime factorization of 9853 in exponential form is:

9853 = 591 × 1671

Prime Factorization of 9866

Prime factors of 9866 are 2, 4933. Prime factorization of 9866 in exponential form is:

9866 = 21 × 49331

Now multiplying the highest exponent prime factors to calculate the LCM of 9853 and 9866.

LCM(9853,9866) = 591 × 1671 × 21 × 49331
LCM(9853,9866) = 97209698