Least Common Multiple of 3249 and 3253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3249 and 3253 the smallest integer that is 10568997 that is divisible by both numbers.

Least Common Multiple (LCM) of 3249 and 3253 is 10568997.

LCM(3249,3253) = 10568997

LCM of 3249 and 3253

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

LCM of:
and

Least Common Multiple of 3249 and 3253

LCM of 3249 and 3253 is 10568997

Least common multiple can be found by multiplying the highest exponent prime factors of 3249 and 3253. First we will calculate the prime factors of 3249 and 3253.

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

Prime Factorization of 3253


3253 3253
1

Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:

3253 = 32531

Now multiplying the highest exponent prime factors to calculate the LCM of 3249 and 3253.

LCM(3249,3253) = 32×192×32531
LCM(3249,3253) = 10568997

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

Factors of 3253

List of positive integer factors of 3253 that divides 3253 without a remainder.

1, 3253

Least Common Multiple of 3249 and 3253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3249 and 3253, than apply into the LCM equation.

GCF(3249,3253) = 1
LCM(3249,3253) = ( 3249 × 3253) / 1
LCM(3249,3253) = 10568997 / 1
LCM(3249,3253) = 10568997

Properties of LCM 3249 and 3253

(i) The LCM of 3253 and 3249 is associative

LCM of 3249 and 3253 = LCM of 3253 and 3249

Related Least Common Multiples of 3249

Related Least Common Multiples of 3253

Frequently Asked Questions on LCM of 3249 and 3253

1. What is the LCM of 3249 and 3253?

Answer: LCM of 3249 and 3253 is 10568997.

2. 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.

3. What are the Factors of 3253?

Answer: Factors of 3253 are 1, 3253. There are 2 integers that are factors of 3253. The greatest factor of 3253 is 3253.

4. How to Find the LCM of 3249 and 3253?

Answer:

Least Common Multiple of 3249 and 3253 = 10568997

Step 1: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 3253

3253 = 3253

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

LCM = 10568997 = 3 x 3 x 19 x 19 x 3253

Step 4: Therefore, the least common multiple of 3249 and 3253 is 10568997.