GCF and LCM Calculator Logo

What is the Least Common Multiple of 9878 and 9891?

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 9878 and 9891 is 97703298.

LCM(9878,9891) = 97703298

LCM Calculator and
and

Least Common Multiple of 9878 and 9891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9878 and 9891, than apply into the LCM equation.

GCF(9878,9891) = 1
LCM(9878,9891) = ( 9878 × 9891) / 1
LCM(9878,9891) = 97703298 / 1
LCM(9878,9891) = 97703298

Least Common Multiple (LCM) of 9878 and 9891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9878 and 9891. First we will calculate the prime factors of 9878 and 9891.

Prime Factorization of 9878

Prime factors of 9878 are 2, 11, 449. Prime factorization of 9878 in exponential form is:

9878 = 21 × 111 × 4491

Prime Factorization of 9891

Prime factors of 9891 are 3, 7, 157. Prime factorization of 9891 in exponential form is:

9891 = 32 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9878 and 9891.

LCM(9878,9891) = 21 × 111 × 4491 × 32 × 71 × 1571
LCM(9878,9891) = 97703298