Least Common Multiple of 6237 and 6243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6237 and 6243 the smallest integer that is 12979197 that is divisible by both numbers.

Least Common Multiple (LCM) of 6237 and 6243 is 12979197.

LCM(6237,6243) = 12979197

LCM of 6237 and 6243

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

LCM of:
and

Least Common Multiple of 6237 and 6243

LCM of 6237 and 6243 is 12979197

Least common multiple can be found by multiplying the highest exponent prime factors of 6237 and 6243. First we will calculate the prime factors of 6237 and 6243.

Prime Factorization of 6237


3 6237
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 6237 are 3, 7,11. Prime factorization of 6237 in exponential form is:

6237 = 34×71×111

Prime Factorization of 6243


3 6243
2081 2081
1

Prime factors of 6243 are 3,2081. Prime factorization of 6243 in exponential form is:

6243 = 31×20811

Now multiplying the highest exponent prime factors to calculate the LCM of 6237 and 6243.

LCM(6237,6243) = 34×71×111×20811
LCM(6237,6243) = 12979197

Factors of 6237

List of positive integer factors of 6237 that divides 6237 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237

Factors of 6243

List of positive integer factors of 6243 that divides 6243 without a remainder.

1, 3, 2081, 6243

Least Common Multiple of 6237 and 6243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6237 and 6243, than apply into the LCM equation.

GCF(6237,6243) = 3
LCM(6237,6243) = ( 6237 × 6243) / 3
LCM(6237,6243) = 38937591 / 3
LCM(6237,6243) = 12979197

Properties of LCM 6237 and 6243

(i) The LCM of 6243 and 6237 is associative

LCM of 6237 and 6243 = LCM of 6243 and 6237

Related Least Common Multiples of 6237

Related Least Common Multiples of 6243

Frequently Asked Questions on LCM of 6237 and 6243

1. What is the LCM of 6237 and 6243?

Answer: LCM of 6237 and 6243 is 12979197.

2. What are the Factors of 6237?

Answer: Factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237. There are 20 integers that are factors of 6237. The greatest factor of 6237 is 6237.

3. What are the Factors of 6243?

Answer: Factors of 6243 are 1, 3, 2081, 6243. There are 4 integers that are factors of 6243. The greatest factor of 6243 is 6243.

4. How to Find the LCM of 6237 and 6243?

Answer:

Least Common Multiple of 6237 and 6243 = 12979197

Step 1: Find the prime factorization of 6237

6237 = 3 x 3 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 6243

6243 = 3 x 2081

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

LCM = 12979197 = 3 x 3 x 3 x 3 x 7 x 11 x 2081

Step 4: Therefore, the least common multiple of 6237 and 6243 is 12979197.