Least Common Multiple of 3506 and 3511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3506 and 3511 the smallest integer that is 12309566 that is divisible by both numbers.

Least Common Multiple (LCM) of 3506 and 3511 is 12309566.

LCM(3506,3511) = 12309566

LCM of 3506 and 3511

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

LCM of:
and

Least Common Multiple of 3506 and 3511

LCM of 3506 and 3511 is 12309566

Least common multiple can be found by multiplying the highest exponent prime factors of 3506 and 3511. First we will calculate the prime factors of 3506 and 3511.

Prime Factorization of 3506


2 3506
1753 1753
1

Prime factors of 3506 are 2,1753. Prime factorization of 3506 in exponential form is:

3506 = 21×17531

Prime Factorization of 3511


3511 3511
1

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

3511 = 35111

Now multiplying the highest exponent prime factors to calculate the LCM of 3506 and 3511.

LCM(3506,3511) = 21×17531×35111
LCM(3506,3511) = 12309566

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1, 2, 1753, 3506

Factors of 3511

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

1, 3511

Least Common Multiple of 3506 and 3511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3506 and 3511, than apply into the LCM equation.

GCF(3506,3511) = 1
LCM(3506,3511) = ( 3506 × 3511) / 1
LCM(3506,3511) = 12309566 / 1
LCM(3506,3511) = 12309566

Properties of LCM 3506 and 3511

(i) The LCM of 3511 and 3506 is associative

LCM of 3506 and 3511 = LCM of 3511 and 3506

Related Least Common Multiples of 3506

Related Least Common Multiples of 3511

Frequently Asked Questions on LCM of 3506 and 3511

1. What is the LCM of 3506 and 3511?

Answer: LCM of 3506 and 3511 is 12309566.

2. What are the Factors of 3506?

Answer: Factors of 3506 are 1, 2, 1753, 3506. There are 4 integers that are factors of 3506. The greatest factor of 3506 is 3506.

3. 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.

4. How to Find the LCM of 3506 and 3511?

Answer:

Least Common Multiple of 3506 and 3511 = 12309566

Step 1: Find the prime factorization of 3506

3506 = 2 x 1753

Step 2: Find the prime factorization of 3511

3511 = 3511

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

LCM = 12309566 = 2 x 1753 x 3511

Step 4: Therefore, the least common multiple of 3506 and 3511 is 12309566.