GCF and LCM Calculator Logo

What is the Least Common Multiple of 5163 and 5181?

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 5163 and 5181 is 8916501.

LCM(5163,5181) = 8916501

LCM Calculator and
and

Least Common Multiple of 5163 and 5181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5163 and 5181, than apply into the LCM equation.

GCF(5163,5181) = 3
LCM(5163,5181) = ( 5163 × 5181) / 3
LCM(5163,5181) = 26749503 / 3
LCM(5163,5181) = 8916501

Least Common Multiple (LCM) of 5163 and 5181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5163 and 5181. First we will calculate the prime factors of 5163 and 5181.

Prime Factorization of 5163

Prime factors of 5163 are 3, 1721. Prime factorization of 5163 in exponential form is:

5163 = 31 × 17211

Prime Factorization of 5181

Prime factors of 5181 are 3, 11, 157. Prime factorization of 5181 in exponential form is:

5181 = 31 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5163 and 5181.

LCM(5163,5181) = 31 × 17211 × 111 × 1571
LCM(5163,5181) = 8916501