GCF and LCM Calculator Logo

What is the Least Common Multiple of 16842 and 16858?

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 16842 and 16858 is 141961218.

LCM(16842,16858) = 141961218

LCM Calculator and
and

Least Common Multiple of 16842 and 16858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16842 and 16858, than apply into the LCM equation.

GCF(16842,16858) = 2
LCM(16842,16858) = ( 16842 × 16858) / 2
LCM(16842,16858) = 283922436 / 2
LCM(16842,16858) = 141961218

Least Common Multiple (LCM) of 16842 and 16858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16842 and 16858. First we will calculate the prime factors of 16842 and 16858.

Prime Factorization of 16842

Prime factors of 16842 are 2, 3, 7, 401. Prime factorization of 16842 in exponential form is:

16842 = 21 × 31 × 71 × 4011

Prime Factorization of 16858

Prime factors of 16858 are 2, 8429. Prime factorization of 16858 in exponential form is:

16858 = 21 × 84291

Now multiplying the highest exponent prime factors to calculate the LCM of 16842 and 16858.

LCM(16842,16858) = 21 × 31 × 71 × 4011 × 84291
LCM(16842,16858) = 141961218