Least Common Multiple of 6243 and 6245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6243 and 6245 the smallest integer that is 38987535 that is divisible by both numbers.

Least Common Multiple (LCM) of 6243 and 6245 is 38987535.

LCM(6243,6245) = 38987535

LCM of 6243 and 6245

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

LCM of:
and

Least Common Multiple of 6243 and 6245

LCM of 6243 and 6245 is 38987535

Least common multiple can be found by multiplying the highest exponent prime factors of 6243 and 6245. First we will calculate the prime factors of 6243 and 6245.

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

Prime Factorization of 6245


5 6245
1249 1249
1

Prime factors of 6245 are 5,1249. Prime factorization of 6245 in exponential form is:

6245 = 51×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 6243 and 6245.

LCM(6243,6245) = 31×51×12491×20811
LCM(6243,6245) = 38987535

Factors of 6243

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

1, 3, 2081, 6243

Factors of 6245

List of positive integer factors of 6245 that divides 6245 without a remainder.

1, 5, 1249, 6245

Least Common Multiple of 6243 and 6245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6243 and 6245, than apply into the LCM equation.

GCF(6243,6245) = 1
LCM(6243,6245) = ( 6243 × 6245) / 1
LCM(6243,6245) = 38987535 / 1
LCM(6243,6245) = 38987535

Properties of LCM 6243 and 6245

(i) The LCM of 6245 and 6243 is associative

LCM of 6243 and 6245 = LCM of 6245 and 6243

Related Least Common Multiples of 6243

Related Least Common Multiples of 6245

Frequently Asked Questions on LCM of 6243 and 6245

1. What is the LCM of 6243 and 6245?

Answer: LCM of 6243 and 6245 is 38987535.

2. 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.

3. What are the Factors of 6245?

Answer: Factors of 6245 are 1, 5, 1249, 6245. There are 4 integers that are factors of 6245. The greatest factor of 6245 is 6245.

4. How to Find the LCM of 6243 and 6245?

Answer:

Least Common Multiple of 6243 and 6245 = 38987535

Step 1: Find the prime factorization of 6243

6243 = 3 x 2081

Step 2: Find the prime factorization of 6245

6245 = 5 x 1249

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

LCM = 38987535 = 3 x 5 x 1249 x 2081

Step 4: Therefore, the least common multiple of 6243 and 6245 is 38987535.