Least Common Multiple of 3183 and 3191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3183 and 3191 the smallest integer that is 10156953 that is divisible by both numbers.

Least Common Multiple (LCM) of 3183 and 3191 is 10156953.

LCM(3183,3191) = 10156953

LCM of 3183 and 3191

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

LCM of:
and

Least Common Multiple of 3183 and 3191

LCM of 3183 and 3191 is 10156953

Least common multiple can be found by multiplying the highest exponent prime factors of 3183 and 3191. First we will calculate the prime factors of 3183 and 3191.

Prime Factorization of 3183


3 3183
1061 1061
1

Prime factors of 3183 are 3,1061. Prime factorization of 3183 in exponential form is:

3183 = 31×10611

Prime Factorization of 3191


3191 3191
1

Prime factors of 3191 are 3191. Prime factorization of 3191 in exponential form is:

3191 = 31911

Now multiplying the highest exponent prime factors to calculate the LCM of 3183 and 3191.

LCM(3183,3191) = 31×10611×31911
LCM(3183,3191) = 10156953

Factors of 3183

List of positive integer factors of 3183 that divides 3183 without a remainder.

1, 3, 1061, 3183

Factors of 3191

List of positive integer factors of 3191 that divides 3191 without a remainder.

1, 3191

Least Common Multiple of 3183 and 3191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3183 and 3191, than apply into the LCM equation.

GCF(3183,3191) = 1
LCM(3183,3191) = ( 3183 × 3191) / 1
LCM(3183,3191) = 10156953 / 1
LCM(3183,3191) = 10156953

Properties of LCM 3183 and 3191

(i) The LCM of 3191 and 3183 is associative

LCM of 3183 and 3191 = LCM of 3191 and 3183

Related Least Common Multiples of 3183

Related Least Common Multiples of 3191

Frequently Asked Questions on LCM of 3183 and 3191

1. What is the LCM of 3183 and 3191?

Answer: LCM of 3183 and 3191 is 10156953.

2. What are the Factors of 3183?

Answer: Factors of 3183 are 1, 3, 1061, 3183. There are 4 integers that are factors of 3183. The greatest factor of 3183 is 3183.

3. What are the Factors of 3191?

Answer: Factors of 3191 are 1, 3191. There are 2 integers that are factors of 3191. The greatest factor of 3191 is 3191.

4. How to Find the LCM of 3183 and 3191?

Answer:

Least Common Multiple of 3183 and 3191 = 10156953

Step 1: Find the prime factorization of 3183

3183 = 3 x 1061

Step 2: Find the prime factorization of 3191

3191 = 3191

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

LCM = 10156953 = 3 x 1061 x 3191

Step 4: Therefore, the least common multiple of 3183 and 3191 is 10156953.