GCF and LCM Calculator Logo

What is the Least Common Multiple of 3173 and 3178?

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 3173 and 3178 is 10083794.

LCM(3173,3178) = 10083794

LCM Calculator and
and

Least Common Multiple of 3173 and 3178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3173 and 3178, than apply into the LCM equation.

GCF(3173,3178) = 1
LCM(3173,3178) = ( 3173 × 3178) / 1
LCM(3173,3178) = 10083794 / 1
LCM(3173,3178) = 10083794

Least Common Multiple (LCM) of 3173 and 3178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3173 and 3178. First we will calculate the prime factors of 3173 and 3178.

Prime Factorization of 3173

Prime factors of 3173 are 19, 167. Prime factorization of 3173 in exponential form is:

3173 = 191 × 1671

Prime Factorization of 3178

Prime factors of 3178 are 2, 7, 227. Prime factorization of 3178 in exponential form is:

3178 = 21 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3173 and 3178.

LCM(3173,3178) = 191 × 1671 × 21 × 71 × 2271
LCM(3173,3178) = 10083794