Least Common Multiple of 3244 and 3249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3244 and 3249 the smallest integer that is 10539756 that is divisible by both numbers.

Least Common Multiple (LCM) of 3244 and 3249 is 10539756.

LCM(3244,3249) = 10539756

LCM of 3244 and 3249

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

LCM of:
and

Least Common Multiple of 3244 and 3249

LCM of 3244 and 3249 is 10539756

Least common multiple can be found by multiplying the highest exponent prime factors of 3244 and 3249. First we will calculate the prime factors of 3244 and 3249.

Prime Factorization of 3244


2 3244
2 1622
811 811
1

Prime factors of 3244 are 2,811. Prime factorization of 3244 in exponential form is:

3244 = 22×8111

Prime Factorization of 3249


3 3249
3 1083
19 361
19 19
1

Prime factors of 3249 are 3,19. Prime factorization of 3249 in exponential form is:

3249 = 32×192

Now multiplying the highest exponent prime factors to calculate the LCM of 3244 and 3249.

LCM(3244,3249) = 22×32×192×8111
LCM(3244,3249) = 10539756

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1, 2, 4, 811, 1622, 3244

Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1, 3, 9, 19, 57, 171, 361, 1083, 3249

Least Common Multiple of 3244 and 3249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3244 and 3249, than apply into the LCM equation.

GCF(3244,3249) = 1
LCM(3244,3249) = ( 3244 × 3249) / 1
LCM(3244,3249) = 10539756 / 1
LCM(3244,3249) = 10539756

Properties of LCM 3244 and 3249

(i) The LCM of 3249 and 3244 is associative

LCM of 3244 and 3249 = LCM of 3249 and 3244

Related Least Common Multiples of 3244

Related Least Common Multiples of 3249

Frequently Asked Questions on LCM of 3244 and 3249

1. What is the LCM of 3244 and 3249?

Answer: LCM of 3244 and 3249 is 10539756.

2. What are the Factors of 3244?

Answer: Factors of 3244 are 1, 2, 4, 811, 1622, 3244. There are 6 integers that are factors of 3244. The greatest factor of 3244 is 3244.

3. What are the Factors of 3249?

Answer: Factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249. There are 9 integers that are factors of 3249. The greatest factor of 3249 is 3249.

4. How to Find the LCM of 3244 and 3249?

Answer:

Least Common Multiple of 3244 and 3249 = 10539756

Step 1: Find the prime factorization of 3244

3244 = 2 x 2 x 811

Step 2: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

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

LCM = 10539756 = 2 x 2 x 3 x 3 x 19 x 19 x 811

Step 4: Therefore, the least common multiple of 3244 and 3249 is 10539756.