GCF and LCM Calculator Logo

What is the Least Common Multiple of 3143 and 3155?

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 3143 and 3155 is 9916165.

LCM(3143,3155) = 9916165

LCM Calculator and
and

Least Common Multiple of 3143 and 3155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3143 and 3155, than apply into the LCM equation.

GCF(3143,3155) = 1
LCM(3143,3155) = ( 3143 × 3155) / 1
LCM(3143,3155) = 9916165 / 1
LCM(3143,3155) = 9916165

Least Common Multiple (LCM) of 3143 and 3155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3143 and 3155. First we will calculate the prime factors of 3143 and 3155.

Prime Factorization of 3143

Prime factors of 3143 are 7, 449. Prime factorization of 3143 in exponential form is:

3143 = 71 × 4491

Prime Factorization of 3155

Prime factors of 3155 are 5, 631. Prime factorization of 3155 in exponential form is:

3155 = 51 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 3143 and 3155.

LCM(3143,3155) = 71 × 4491 × 51 × 6311
LCM(3143,3155) = 9916165