Least Common Multiple of 3243 and 3248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3243 and 3248 the smallest integer that is 10533264 that is divisible by both numbers.

Least Common Multiple (LCM) of 3243 and 3248 is 10533264.

LCM(3243,3248) = 10533264

LCM of 3243 and 3248

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

LCM of:
and

Least Common Multiple of 3243 and 3248

LCM of 3243 and 3248 is 10533264

Least common multiple can be found by multiplying the highest exponent prime factors of 3243 and 3248. First we will calculate the prime factors of 3243 and 3248.

Prime Factorization of 3243


3 3243
23 1081
47 47
1

Prime factors of 3243 are 3, 23,47. Prime factorization of 3243 in exponential form is:

3243 = 31×231×471

Prime Factorization of 3248


2 3248
2 1624
2 812
2 406
7 203
29 29
1

Prime factors of 3248 are 2, 7,29. Prime factorization of 3248 in exponential form is:

3248 = 24×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3243 and 3248.

LCM(3243,3248) = 24×31×71×231×291×471
LCM(3243,3248) = 10533264

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1, 3, 23, 47, 69, 141, 1081, 3243

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248

Least Common Multiple of 3243 and 3248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3243 and 3248, than apply into the LCM equation.

GCF(3243,3248) = 1
LCM(3243,3248) = ( 3243 × 3248) / 1
LCM(3243,3248) = 10533264 / 1
LCM(3243,3248) = 10533264

Properties of LCM 3243 and 3248

(i) The LCM of 3248 and 3243 is associative

LCM of 3243 and 3248 = LCM of 3248 and 3243

Related Least Common Multiples of 3243

Related Least Common Multiples of 3248

Frequently Asked Questions on LCM of 3243 and 3248

1. What is the LCM of 3243 and 3248?

Answer: LCM of 3243 and 3248 is 10533264.

2. What are the Factors of 3243?

Answer: Factors of 3243 are 1, 3, 23, 47, 69, 141, 1081, 3243. There are 8 integers that are factors of 3243. The greatest factor of 3243 is 3243.

3. What are the Factors of 3248?

Answer: Factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248. There are 20 integers that are factors of 3248. The greatest factor of 3248 is 3248.

4. How to Find the LCM of 3243 and 3248?

Answer:

Least Common Multiple of 3243 and 3248 = 10533264

Step 1: Find the prime factorization of 3243

3243 = 3 x 23 x 47

Step 2: Find the prime factorization of 3248

3248 = 2 x 2 x 2 x 2 x 7 x 29

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

LCM = 10533264 = 2 x 2 x 2 x 2 x 3 x 7 x 23 x 29 x 47

Step 4: Therefore, the least common multiple of 3243 and 3248 is 10533264.