Least Common Multiple of 3521 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 3521 and 3525 the smallest integer that is 12411525 that is divisible by both numbers.

Least Common Multiple (LCM) of 3521 and 3525 is 12411525.

LCM(3521,3525) = 12411525

LCM of 3521 and 3525

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

LCM of:
and

Least Common Multiple of 3521 and 3525

LCM of 3521 and 3525 is 12411525

Least common multiple can be found by multiplying the highest exponent prime factors of 3521 and 3525. First we will calculate the prime factors of 3521 and 3525.

Prime Factorization of 3521


7 3521
503 503
1

Prime factors of 3521 are 7,503. Prime factorization of 3521 in exponential form is:

3521 = 71×5031

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 3521 and 3525.

LCM(3521,3525) = 31×52×71×471×5031
LCM(3521,3525) = 12411525

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1, 7, 503, 3521

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 3521 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 3521 and 3525, than apply into the LCM equation.

GCF(3521,3525) = 1
LCM(3521,3525) = ( 3521 × 3525) / 1
LCM(3521,3525) = 12411525 / 1
LCM(3521,3525) = 12411525

Properties of LCM 3521 and 3525

(i) The LCM of 3525 and 3521 is associative

LCM of 3521 and 3525 = LCM of 3525 and 3521

Related Least Common Multiples of 3521

Related Least Common Multiples of 3525

Frequently Asked Questions on LCM of 3521 and 3525

1. What is the LCM of 3521 and 3525?

Answer: LCM of 3521 and 3525 is 12411525.

2. What are the Factors of 3521?

Answer: Factors of 3521 are 1, 7, 503, 3521. There are 4 integers that are factors of 3521. The greatest factor of 3521 is 3521.

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 3521 and 3525?

Answer:

Least Common Multiple of 3521 and 3525 = 12411525

Step 1: Find the prime factorization of 3521

3521 = 7 x 503

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 = 12411525 = 3 x 5 x 5 x 7 x 47 x 503

Step 4: Therefore, the least common multiple of 3521 and 3525 is 12411525.