GCF and LCM Calculator Logo

What is the Least Common Multiple of 3179 and 3198?

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 3179 and 3198 is 10166442.

LCM(3179,3198) = 10166442

LCM Calculator and
and

Least Common Multiple of 3179 and 3198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3179 and 3198, than apply into the LCM equation.

GCF(3179,3198) = 1
LCM(3179,3198) = ( 3179 × 3198) / 1
LCM(3179,3198) = 10166442 / 1
LCM(3179,3198) = 10166442

Least Common Multiple (LCM) of 3179 and 3198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3179 and 3198. First we will calculate the prime factors of 3179 and 3198.

Prime Factorization of 3179

Prime factors of 3179 are 11, 17. Prime factorization of 3179 in exponential form is:

3179 = 111 × 172

Prime Factorization of 3198

Prime factors of 3198 are 2, 3, 13, 41. Prime factorization of 3198 in exponential form is:

3198 = 21 × 31 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3179 and 3198.

LCM(3179,3198) = 111 × 172 × 21 × 31 × 131 × 411
LCM(3179,3198) = 10166442