Least Common Multiple of 3249 and 3257

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 3257 the smallest integer that is 10581993 that is divisible by both numbers.

Least Common Multiple (LCM) of 3249 and 3257 is 10581993.

LCM(3249,3257) = 10581993

LCM of 3249 and 3257

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

LCM of:
and

Least Common Multiple of 3249 and 3257

LCM of 3249 and 3257 is 10581993

Least common multiple can be found by multiplying the highest exponent prime factors of 3249 and 3257. First we will calculate the prime factors of 3249 and 3257.

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 3257


3257 3257
1

Prime factors of 3257 are 3257. Prime factorization of 3257 in exponential form is:

3257 = 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 3249 and 3257.

LCM(3249,3257) = 32×192×32571
LCM(3249,3257) = 10581993

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 3257

List of positive integer factors of 3257 that divides 3257 without a remainder.

1, 3257

Least Common Multiple of 3249 and 3257 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 3257, than apply into the LCM equation.

GCF(3249,3257) = 1
LCM(3249,3257) = ( 3249 × 3257) / 1
LCM(3249,3257) = 10581993 / 1
LCM(3249,3257) = 10581993

Properties of LCM 3249 and 3257

(i) The LCM of 3257 and 3249 is associative

LCM of 3249 and 3257 = LCM of 3257 and 3249

Related Least Common Multiples of 3249

Related Least Common Multiples of 3257

Frequently Asked Questions on LCM of 3249 and 3257

1. What is the LCM of 3249 and 3257?

Answer: LCM of 3249 and 3257 is 10581993.

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 3257?

Answer: Factors of 3257 are 1, 3257. There are 2 integers that are factors of 3257. The greatest factor of 3257 is 3257.

4. How to Find the LCM of 3249 and 3257?

Answer:

Least Common Multiple of 3249 and 3257 = 10581993

Step 1: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 3257

3257 = 3257

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

LCM = 10581993 = 3 x 3 x 19 x 19 x 3257

Step 4: Therefore, the least common multiple of 3249 and 3257 is 10581993.