Least Common Multiple of 3509 and 3516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3509 and 3516 the smallest integer that is 12337644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3509 and 3516 is 12337644.

LCM(3509,3516) = 12337644

LCM of 3509 and 3516

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

LCM of:
and

Least Common Multiple of 3509 and 3516

LCM of 3509 and 3516 is 12337644

Least common multiple can be found by multiplying the highest exponent prime factors of 3509 and 3516. First we will calculate the prime factors of 3509 and 3516.

Prime Factorization of 3509


11 3509
11 319
29 29
1

Prime factors of 3509 are 11,29. Prime factorization of 3509 in exponential form is:

3509 = 112×291

Prime Factorization of 3516


2 3516
2 1758
3 879
293 293
1

Prime factors of 3516 are 2, 3,293. Prime factorization of 3516 in exponential form is:

3516 = 22×31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 3509 and 3516.

LCM(3509,3516) = 22×31×112×291×2931
LCM(3509,3516) = 12337644

Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1, 11, 29, 121, 319, 3509

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516

Least Common Multiple of 3509 and 3516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3509 and 3516, than apply into the LCM equation.

GCF(3509,3516) = 1
LCM(3509,3516) = ( 3509 × 3516) / 1
LCM(3509,3516) = 12337644 / 1
LCM(3509,3516) = 12337644

Properties of LCM 3509 and 3516

(i) The LCM of 3516 and 3509 is associative

LCM of 3509 and 3516 = LCM of 3516 and 3509

Related Least Common Multiples of 3509

Related Least Common Multiples of 3516

Frequently Asked Questions on LCM of 3509 and 3516

1. What is the LCM of 3509 and 3516?

Answer: LCM of 3509 and 3516 is 12337644.

2. What are the Factors of 3509?

Answer: Factors of 3509 are 1, 11, 29, 121, 319, 3509. There are 6 integers that are factors of 3509. The greatest factor of 3509 is 3509.

3. What are the Factors of 3516?

Answer: Factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516. There are 12 integers that are factors of 3516. The greatest factor of 3516 is 3516.

4. How to Find the LCM of 3509 and 3516?

Answer:

Least Common Multiple of 3509 and 3516 = 12337644

Step 1: Find the prime factorization of 3509

3509 = 11 x 11 x 29

Step 2: Find the prime factorization of 3516

3516 = 2 x 2 x 3 x 293

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

LCM = 12337644 = 2 x 2 x 3 x 11 x 11 x 29 x 293

Step 4: Therefore, the least common multiple of 3509 and 3516 is 12337644.