Least Common Multiple of 3249 and 3252

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 3252 the smallest integer that is 3521916 that is divisible by both numbers.

Least Common Multiple (LCM) of 3249 and 3252 is 3521916.

LCM(3249,3252) = 3521916

LCM of 3249 and 3252

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

LCM of:
and

Least Common Multiple of 3249 and 3252

LCM of 3249 and 3252 is 3521916

Least common multiple can be found by multiplying the highest exponent prime factors of 3249 and 3252. First we will calculate the prime factors of 3249 and 3252.

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 3252


2 3252
2 1626
3 813
271 271
1

Prime factors of 3252 are 2, 3,271. Prime factorization of 3252 in exponential form is:

3252 = 22×31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 3249 and 3252.

LCM(3249,3252) = 22×32×192×2711
LCM(3249,3252) = 3521916

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 3252

List of positive integer factors of 3252 that divides 3252 without a remainder.

1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252

Least Common Multiple of 3249 and 3252 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 3252, than apply into the LCM equation.

GCF(3249,3252) = 3
LCM(3249,3252) = ( 3249 × 3252) / 3
LCM(3249,3252) = 10565748 / 3
LCM(3249,3252) = 3521916

Properties of LCM 3249 and 3252

(i) The LCM of 3252 and 3249 is associative

LCM of 3249 and 3252 = LCM of 3252 and 3249

Related Least Common Multiples of 3249

Related Least Common Multiples of 3252

Frequently Asked Questions on LCM of 3249 and 3252

1. What is the LCM of 3249 and 3252?

Answer: LCM of 3249 and 3252 is 3521916.

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 3252?

Answer: Factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252. There are 12 integers that are factors of 3252. The greatest factor of 3252 is 3252.

4. How to Find the LCM of 3249 and 3252?

Answer:

Least Common Multiple of 3249 and 3252 = 3521916

Step 1: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 3252

3252 = 2 x 2 x 3 x 271

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

LCM = 3521916 = 2 x 2 x 3 x 3 x 19 x 19 x 271

Step 4: Therefore, the least common multiple of 3249 and 3252 is 3521916.