Least Common Multiple of 3181 and 3188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3181 and 3188 the smallest integer that is 10141028 that is divisible by both numbers.

Least Common Multiple (LCM) of 3181 and 3188 is 10141028.

LCM(3181,3188) = 10141028

LCM of 3181 and 3188

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3181 and 3188

LCM of 3181 and 3188 is 10141028

Least common multiple can be found by multiplying the highest exponent prime factors of 3181 and 3188. First we will calculate the prime factors of 3181 and 3188.

Prime Factorization of 3181


3181 3181
1

Prime factors of 3181 are 3181. Prime factorization of 3181 in exponential form is:

3181 = 31811

Prime Factorization of 3188


2 3188
2 1594
797 797
1

Prime factors of 3188 are 2,797. Prime factorization of 3188 in exponential form is:

3188 = 22×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 3181 and 3188.

LCM(3181,3188) = 22×7971×31811
LCM(3181,3188) = 10141028

Factors of 3181

List of positive integer factors of 3181 that divides 3181 without a remainder.

1, 3181

Factors of 3188

List of positive integer factors of 3188 that divides 3188 without a remainder.

1, 2, 4, 797, 1594, 3188

Least Common Multiple of 3181 and 3188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3181 and 3188, than apply into the LCM equation.

GCF(3181,3188) = 1
LCM(3181,3188) = ( 3181 × 3188) / 1
LCM(3181,3188) = 10141028 / 1
LCM(3181,3188) = 10141028

Properties of LCM 3181 and 3188

(i) The LCM of 3188 and 3181 is associative

LCM of 3181 and 3188 = LCM of 3188 and 3181

Related Least Common Multiples of 3181

Related Least Common Multiples of 3188

Frequently Asked Questions on LCM of 3181 and 3188

1. What is the LCM of 3181 and 3188?

Answer: LCM of 3181 and 3188 is 10141028.

2. What are the Factors of 3181?

Answer: Factors of 3181 are 1, 3181. There are 2 integers that are factors of 3181. The greatest factor of 3181 is 3181.

3. What are the Factors of 3188?

Answer: Factors of 3188 are 1, 2, 4, 797, 1594, 3188. There are 6 integers that are factors of 3188. The greatest factor of 3188 is 3188.

4. How to Find the LCM of 3181 and 3188?

Answer:

Least Common Multiple of 3181 and 3188 = 10141028

Step 1: Find the prime factorization of 3181

3181 = 3181

Step 2: Find the prime factorization of 3188

3188 = 2 x 2 x 797

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10141028 = 2 x 2 x 797 x 3181

Step 4: Therefore, the least common multiple of 3181 and 3188 is 10141028.