GCF and LCM Calculator Logo

What is the Least Common Multiple of 16852 and 16869?

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 16852 and 16869 is 284276388.

LCM(16852,16869) = 284276388

LCM Calculator and
and

Least Common Multiple of 16852 and 16869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16852 and 16869, than apply into the LCM equation.

GCF(16852,16869) = 1
LCM(16852,16869) = ( 16852 × 16869) / 1
LCM(16852,16869) = 284276388 / 1
LCM(16852,16869) = 284276388

Least Common Multiple (LCM) of 16852 and 16869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16852 and 16869. First we will calculate the prime factors of 16852 and 16869.

Prime Factorization of 16852

Prime factors of 16852 are 2, 11, 383. Prime factorization of 16852 in exponential form is:

16852 = 22 × 111 × 3831

Prime Factorization of 16869

Prime factors of 16869 are 3, 5623. Prime factorization of 16869 in exponential form is:

16869 = 31 × 56231

Now multiplying the highest exponent prime factors to calculate the LCM of 16852 and 16869.

LCM(16852,16869) = 22 × 111 × 3831 × 31 × 56231
LCM(16852,16869) = 284276388