Least Common Multiple of 6183 and 6189

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 6189 the smallest integer that is 12755529 that is divisible by both numbers.

Least Common Multiple (LCM) of 6183 and 6189 is 12755529.

LCM(6183,6189) = 12755529

LCM of 6183 and 6189

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

LCM of:
and

Least Common Multiple of 6183 and 6189

LCM of 6183 and 6189 is 12755529

Least common multiple can be found by multiplying the highest exponent prime factors of 6183 and 6189. First we will calculate the prime factors of 6183 and 6189.

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 6189


3 6189
2063 2063
1

Prime factors of 6189 are 3,2063. Prime factorization of 6189 in exponential form is:

6189 = 31×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 6183 and 6189.

LCM(6183,6189) = 33×2291×20631
LCM(6183,6189) = 12755529

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 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1, 3, 2063, 6189

Least Common Multiple of 6183 and 6189 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 6189, than apply into the LCM equation.

GCF(6183,6189) = 3
LCM(6183,6189) = ( 6183 × 6189) / 3
LCM(6183,6189) = 38266587 / 3
LCM(6183,6189) = 12755529

Properties of LCM 6183 and 6189

(i) The LCM of 6189 and 6183 is associative

LCM of 6183 and 6189 = LCM of 6189 and 6183

Related Least Common Multiples of 6183

Related Least Common Multiples of 6189

Frequently Asked Questions on LCM of 6183 and 6189

1. What is the LCM of 6183 and 6189?

Answer: LCM of 6183 and 6189 is 12755529.

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 6189?

Answer: Factors of 6189 are 1, 3, 2063, 6189. There are 4 integers that are factors of 6189. The greatest factor of 6189 is 6189.

4. How to Find the LCM of 6183 and 6189?

Answer:

Least Common Multiple of 6183 and 6189 = 12755529

Step 1: Find the prime factorization of 6183

6183 = 3 x 3 x 3 x 229

Step 2: Find the prime factorization of 6189

6189 = 3 x 2063

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

LCM = 12755529 = 3 x 3 x 3 x 229 x 2063

Step 4: Therefore, the least common multiple of 6183 and 6189 is 12755529.