Least Common Multiple of 3513 and 3519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3513 and 3519 the smallest integer that is 4120749 that is divisible by both numbers.

Least Common Multiple (LCM) of 3513 and 3519 is 4120749.

LCM(3513,3519) = 4120749

LCM of 3513 and 3519

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

LCM of:
and

Least Common Multiple of 3513 and 3519

LCM of 3513 and 3519 is 4120749

Least common multiple can be found by multiplying the highest exponent prime factors of 3513 and 3519. First we will calculate the prime factors of 3513 and 3519.

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

Prime Factorization of 3519


3 3519
3 1173
17 391
23 23
1

Prime factors of 3519 are 3, 17,23. Prime factorization of 3519 in exponential form is:

3519 = 32×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3513 and 3519.

LCM(3513,3519) = 32×171×231×11711
LCM(3513,3519) = 4120749

Factors of 3513

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

1, 3, 1171, 3513

Factors of 3519

List of positive integer factors of 3519 that divides 3519 without a remainder.

1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519

Least Common Multiple of 3513 and 3519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3513 and 3519, than apply into the LCM equation.

GCF(3513,3519) = 3
LCM(3513,3519) = ( 3513 × 3519) / 3
LCM(3513,3519) = 12362247 / 3
LCM(3513,3519) = 4120749

Properties of LCM 3513 and 3519

(i) The LCM of 3519 and 3513 is associative

LCM of 3513 and 3519 = LCM of 3519 and 3513

Related Least Common Multiples of 3513

Related Least Common Multiples of 3519

Frequently Asked Questions on LCM of 3513 and 3519

1. What is the LCM of 3513 and 3519?

Answer: LCM of 3513 and 3519 is 4120749.

2. 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.

3. What are the Factors of 3519?

Answer: Factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519. There are 12 integers that are factors of 3519. The greatest factor of 3519 is 3519.

4. How to Find the LCM of 3513 and 3519?

Answer:

Least Common Multiple of 3513 and 3519 = 4120749

Step 1: Find the prime factorization of 3513

3513 = 3 x 1171

Step 2: Find the prime factorization of 3519

3519 = 3 x 3 x 17 x 23

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

LCM = 4120749 = 3 x 3 x 17 x 23 x 1171

Step 4: Therefore, the least common multiple of 3513 and 3519 is 4120749.