Least Common Multiple of 6183 and 6188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6183 and 6188 the smallest integer that is 38260404 that is divisible by both numbers.

Least Common Multiple (LCM) of 6183 and 6188 is 38260404.

LCM(6183,6188) = 38260404

LCM of 6183 and 6188

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

LCM of:
and

Least Common Multiple of 6183 and 6188

LCM of 6183 and 6188 is 38260404

Least common multiple can be found by multiplying the highest exponent prime factors of 6183 and 6188. First we will calculate the prime factors of 6183 and 6188.

Prime Factorization of 6183


3 6183
3 2061
3 687
229 229
1

Prime factors of 6183 are 3,229. Prime factorization of 6183 in exponential form is:

6183 = 33×2291

Prime Factorization of 6188


2 6188
2 3094
7 1547
13 221
17 17
1

Prime factors of 6188 are 2, 7, 13,17. Prime factorization of 6188 in exponential form is:

6188 = 22×71×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6183 and 6188.

LCM(6183,6188) = 22×33×71×131×171×2291
LCM(6183,6188) = 38260404

Factors of 6183

List of positive integer factors of 6183 that divides 6183 without a remainder.

1, 3, 9, 27, 229, 687, 2061, 6183

Factors of 6188

List of positive integer factors of 6188 that divides 6188 without a remainder.

1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188

Least Common Multiple of 6183 and 6188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6183 and 6188, than apply into the LCM equation.

GCF(6183,6188) = 1
LCM(6183,6188) = ( 6183 × 6188) / 1
LCM(6183,6188) = 38260404 / 1
LCM(6183,6188) = 38260404

Properties of LCM 6183 and 6188

(i) The LCM of 6188 and 6183 is associative

LCM of 6183 and 6188 = LCM of 6188 and 6183

Related Least Common Multiples of 6183

Related Least Common Multiples of 6188

Frequently Asked Questions on LCM of 6183 and 6188

1. What is the LCM of 6183 and 6188?

Answer: LCM of 6183 and 6188 is 38260404.

2. What are the Factors of 6183?

Answer: Factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183. There are 8 integers that are factors of 6183. The greatest factor of 6183 is 6183.

3. What are the Factors of 6188?

Answer: Factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188. There are 24 integers that are factors of 6188. The greatest factor of 6188 is 6188.

4. How to Find the LCM of 6183 and 6188?

Answer:

Least Common Multiple of 6183 and 6188 = 38260404

Step 1: Find the prime factorization of 6183

6183 = 3 x 3 x 3 x 229

Step 2: Find the prime factorization of 6188

6188 = 2 x 2 x 7 x 13 x 17

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

LCM = 38260404 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 17 x 229

Step 4: Therefore, the least common multiple of 6183 and 6188 is 38260404.