Least Common Multiple of 3519 and 3525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3519 and 3525 the smallest integer that is 4134825 that is divisible by both numbers.

Least Common Multiple (LCM) of 3519 and 3525 is 4134825.

LCM(3519,3525) = 4134825

LCM of 3519 and 3525

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

LCM of:
and

Least Common Multiple of 3519 and 3525

LCM of 3519 and 3525 is 4134825

Least common multiple can be found by multiplying the highest exponent prime factors of 3519 and 3525. First we will calculate the prime factors of 3519 and 3525.

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

Prime Factorization of 3525


3 3525
5 1175
5 235
47 47
1

Prime factors of 3525 are 3, 5,47. Prime factorization of 3525 in exponential form is:

3525 = 31×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3519 and 3525.

LCM(3519,3525) = 32×52×171×231×471
LCM(3519,3525) = 4134825

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

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525

Least Common Multiple of 3519 and 3525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3519 and 3525, than apply into the LCM equation.

GCF(3519,3525) = 3
LCM(3519,3525) = ( 3519 × 3525) / 3
LCM(3519,3525) = 12404475 / 3
LCM(3519,3525) = 4134825

Properties of LCM 3519 and 3525

(i) The LCM of 3525 and 3519 is associative

LCM of 3519 and 3525 = LCM of 3525 and 3519

Related Least Common Multiples of 3519

Related Least Common Multiples of 3525

Frequently Asked Questions on LCM of 3519 and 3525

1. What is the LCM of 3519 and 3525?

Answer: LCM of 3519 and 3525 is 4134825.

2. 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.

3. What are the Factors of 3525?

Answer: Factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525. There are 12 integers that are factors of 3525. The greatest factor of 3525 is 3525.

4. How to Find the LCM of 3519 and 3525?

Answer:

Least Common Multiple of 3519 and 3525 = 4134825

Step 1: Find the prime factorization of 3519

3519 = 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

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

LCM = 4134825 = 3 x 3 x 5 x 5 x 17 x 23 x 47

Step 4: Therefore, the least common multiple of 3519 and 3525 is 4134825.