Least Common Multiple of 3183 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 3183 and 3188 the smallest integer that is 10147404 that is divisible by both numbers.

Least Common Multiple (LCM) of 3183 and 3188 is 10147404.

LCM(3183,3188) = 10147404

LCM of 3183 and 3188

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

LCM of:
and

Least Common Multiple of 3183 and 3188

LCM of 3183 and 3188 is 10147404

Least common multiple can be found by multiplying the highest exponent prime factors of 3183 and 3188. First we will calculate the prime factors of 3183 and 3188.

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 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 3183 and 3188.

LCM(3183,3188) = 22×31×7971×10611
LCM(3183,3188) = 10147404

Factors of 3183

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

1, 3, 1061, 3183

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 3183 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 3183 and 3188, than apply into the LCM equation.

GCF(3183,3188) = 1
LCM(3183,3188) = ( 3183 × 3188) / 1
LCM(3183,3188) = 10147404 / 1
LCM(3183,3188) = 10147404

Properties of LCM 3183 and 3188

(i) The LCM of 3188 and 3183 is associative

LCM of 3183 and 3188 = LCM of 3188 and 3183

Related Least Common Multiples of 3183

Related Least Common Multiples of 3188

Frequently Asked Questions on LCM of 3183 and 3188

1. What is the LCM of 3183 and 3188?

Answer: LCM of 3183 and 3188 is 10147404.

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 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 3183 and 3188?

Answer:

Least Common Multiple of 3183 and 3188 = 10147404

Step 1: Find the prime factorization of 3183

3183 = 3 x 1061

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 = 10147404 = 2 x 2 x 3 x 797 x 1061

Step 4: Therefore, the least common multiple of 3183 and 3188 is 10147404.