GCF and LCM Calculator Logo

What is the Least Common Multiple of 10879 and 10892?

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 10879 and 10892 is 118494068.

LCM(10879,10892) = 118494068

LCM Calculator and
and

Least Common Multiple of 10879 and 10892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10879 and 10892, than apply into the LCM equation.

GCF(10879,10892) = 1
LCM(10879,10892) = ( 10879 × 10892) / 1
LCM(10879,10892) = 118494068 / 1
LCM(10879,10892) = 118494068

Least Common Multiple (LCM) of 10879 and 10892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10879 and 10892. First we will calculate the prime factors of 10879 and 10892.

Prime Factorization of 10879

Prime factors of 10879 are 11, 23, 43. Prime factorization of 10879 in exponential form is:

10879 = 111 × 231 × 431

Prime Factorization of 10892

Prime factors of 10892 are 2, 7, 389. Prime factorization of 10892 in exponential form is:

10892 = 22 × 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 10879 and 10892.

LCM(10879,10892) = 111 × 231 × 431 × 22 × 71 × 3891
LCM(10879,10892) = 118494068