Least Common Multiple of 3506 and 3513

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 3513 the smallest integer that is 12316578 that is divisible by both numbers.

Least Common Multiple (LCM) of 3506 and 3513 is 12316578.

LCM(3506,3513) = 12316578

LCM of 3506 and 3513

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

LCM of:
and

Least Common Multiple of 3506 and 3513

LCM of 3506 and 3513 is 12316578

Least common multiple can be found by multiplying the highest exponent prime factors of 3506 and 3513. First we will calculate the prime factors of 3506 and 3513.

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 3513


3 3513
1171 1171
1

Prime factors of 3513 are 3,1171. Prime factorization of 3513 in exponential form is:

3513 = 31×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 3506 and 3513.

LCM(3506,3513) = 21×31×11711×17531
LCM(3506,3513) = 12316578

Factors of 3506

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

1, 2, 1753, 3506

Factors of 3513

List of positive integer factors of 3513 that divides 3513 without a remainder.

1, 3, 1171, 3513

Least Common Multiple of 3506 and 3513 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 3513, than apply into the LCM equation.

GCF(3506,3513) = 1
LCM(3506,3513) = ( 3506 × 3513) / 1
LCM(3506,3513) = 12316578 / 1
LCM(3506,3513) = 12316578

Properties of LCM 3506 and 3513

(i) The LCM of 3513 and 3506 is associative

LCM of 3506 and 3513 = LCM of 3513 and 3506

Related Least Common Multiples of 3506

Related Least Common Multiples of 3513

Frequently Asked Questions on LCM of 3506 and 3513

1. What is the LCM of 3506 and 3513?

Answer: LCM of 3506 and 3513 is 12316578.

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 3513?

Answer: Factors of 3513 are 1, 3, 1171, 3513. There are 4 integers that are factors of 3513. The greatest factor of 3513 is 3513.

4. How to Find the LCM of 3506 and 3513?

Answer:

Least Common Multiple of 3506 and 3513 = 12316578

Step 1: Find the prime factorization of 3506

3506 = 2 x 1753

Step 2: Find the prime factorization of 3513

3513 = 3 x 1171

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

LCM = 12316578 = 2 x 3 x 1171 x 1753

Step 4: Therefore, the least common multiple of 3506 and 3513 is 12316578.