GCF and LCM Calculator Logo

What is the Least Common Multiple of 9895 and 9909?

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 9895 and 9909 is 98049555.

LCM(9895,9909) = 98049555

LCM Calculator and
and

Least Common Multiple of 9895 and 9909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9895 and 9909, than apply into the LCM equation.

GCF(9895,9909) = 1
LCM(9895,9909) = ( 9895 × 9909) / 1
LCM(9895,9909) = 98049555 / 1
LCM(9895,9909) = 98049555

Least Common Multiple (LCM) of 9895 and 9909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9895 and 9909. First we will calculate the prime factors of 9895 and 9909.

Prime Factorization of 9895

Prime factors of 9895 are 5, 1979. Prime factorization of 9895 in exponential form is:

9895 = 51 × 19791

Prime Factorization of 9909

Prime factors of 9909 are 3, 367. Prime factorization of 9909 in exponential form is:

9909 = 33 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9895 and 9909.

LCM(9895,9909) = 51 × 19791 × 33 × 3671
LCM(9895,9909) = 98049555