Least Common Multiple of 3511 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 3511 and 3516 the smallest integer that is 12344676 that is divisible by both numbers.

Least Common Multiple (LCM) of 3511 and 3516 is 12344676.

LCM(3511,3516) = 12344676

LCM of 3511 and 3516

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

LCM of:
and

Least Common Multiple of 3511 and 3516

LCM of 3511 and 3516 is 12344676

Least common multiple can be found by multiplying the highest exponent prime factors of 3511 and 3516. First we will calculate the prime factors of 3511 and 3516.

Prime Factorization of 3511


3511 3511
1

Prime factors of 3511 are 3511. Prime factorization of 3511 in exponential form is:

3511 = 35111

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 3511 and 3516.

LCM(3511,3516) = 22×31×2931×35111
LCM(3511,3516) = 12344676

Factors of 3511

List of positive integer factors of 3511 that divides 3511 without a remainder.

1, 3511

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 3511 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 3511 and 3516, than apply into the LCM equation.

GCF(3511,3516) = 1
LCM(3511,3516) = ( 3511 × 3516) / 1
LCM(3511,3516) = 12344676 / 1
LCM(3511,3516) = 12344676

Properties of LCM 3511 and 3516

(i) The LCM of 3516 and 3511 is associative

LCM of 3511 and 3516 = LCM of 3516 and 3511

Related Least Common Multiples of 3511

Related Least Common Multiples of 3516

Frequently Asked Questions on LCM of 3511 and 3516

1. What is the LCM of 3511 and 3516?

Answer: LCM of 3511 and 3516 is 12344676.

2. What are the Factors of 3511?

Answer: Factors of 3511 are 1, 3511. There are 2 integers that are factors of 3511. The greatest factor of 3511 is 3511.

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 3511 and 3516?

Answer:

Least Common Multiple of 3511 and 3516 = 12344676

Step 1: Find the prime factorization of 3511

3511 = 3511

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 = 12344676 = 2 x 2 x 3 x 293 x 3511

Step 4: Therefore, the least common multiple of 3511 and 3516 is 12344676.