Least Common Multiple of 6243 and 6248

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 6248 the smallest integer that is 39006264 that is divisible by both numbers.

Least Common Multiple (LCM) of 6243 and 6248 is 39006264.

LCM(6243,6248) = 39006264

LCM of 6243 and 6248

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

LCM of:
and

Least Common Multiple of 6243 and 6248

LCM of 6243 and 6248 is 39006264

Least common multiple can be found by multiplying the highest exponent prime factors of 6243 and 6248. First we will calculate the prime factors of 6243 and 6248.

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 6248


2 6248
2 3124
2 1562
11 781
71 71
1

Prime factors of 6248 are 2, 11,71. Prime factorization of 6248 in exponential form is:

6248 = 23×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6243 and 6248.

LCM(6243,6248) = 23×31×111×711×20811
LCM(6243,6248) = 39006264

Factors of 6243

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

1, 3, 2081, 6243

Factors of 6248

List of positive integer factors of 6248 that divides 6248 without a remainder.

1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248

Least Common Multiple of 6243 and 6248 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 6248, than apply into the LCM equation.

GCF(6243,6248) = 1
LCM(6243,6248) = ( 6243 × 6248) / 1
LCM(6243,6248) = 39006264 / 1
LCM(6243,6248) = 39006264

Properties of LCM 6243 and 6248

(i) The LCM of 6248 and 6243 is associative

LCM of 6243 and 6248 = LCM of 6248 and 6243

Related Least Common Multiples of 6243

Related Least Common Multiples of 6248

Frequently Asked Questions on LCM of 6243 and 6248

1. What is the LCM of 6243 and 6248?

Answer: LCM of 6243 and 6248 is 39006264.

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 6248?

Answer: Factors of 6248 are 1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248. There are 16 integers that are factors of 6248. The greatest factor of 6248 is 6248.

4. How to Find the LCM of 6243 and 6248?

Answer:

Least Common Multiple of 6243 and 6248 = 39006264

Step 1: Find the prime factorization of 6243

6243 = 3 x 2081

Step 2: Find the prime factorization of 6248

6248 = 2 x 2 x 2 x 11 x 71

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

LCM = 39006264 = 2 x 2 x 2 x 3 x 11 x 71 x 2081

Step 4: Therefore, the least common multiple of 6243 and 6248 is 39006264.