Least Common Multiple of 3525 and 3530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3525 and 3530 the smallest integer that is 2488650 that is divisible by both numbers.

Least Common Multiple (LCM) of 3525 and 3530 is 2488650.

LCM(3525,3530) = 2488650

LCM of 3525 and 3530

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

LCM of:
and

Least Common Multiple of 3525 and 3530

LCM of 3525 and 3530 is 2488650

Least common multiple can be found by multiplying the highest exponent prime factors of 3525 and 3530. First we will calculate the prime factors of 3525 and 3530.

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

Prime Factorization of 3530


2 3530
5 1765
353 353
1

Prime factors of 3530 are 2, 5,353. Prime factorization of 3530 in exponential form is:

3530 = 21×51×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 3525 and 3530.

LCM(3525,3530) = 21×31×52×471×3531
LCM(3525,3530) = 2488650

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

Factors of 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1, 2, 5, 10, 353, 706, 1765, 3530

Least Common Multiple of 3525 and 3530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3525 and 3530, than apply into the LCM equation.

GCF(3525,3530) = 5
LCM(3525,3530) = ( 3525 × 3530) / 5
LCM(3525,3530) = 12443250 / 5
LCM(3525,3530) = 2488650

Properties of LCM 3525 and 3530

(i) The LCM of 3530 and 3525 is associative

LCM of 3525 and 3530 = LCM of 3530 and 3525

Related Least Common Multiples of 3525

Related Least Common Multiples of 3530

Frequently Asked Questions on LCM of 3525 and 3530

1. What is the LCM of 3525 and 3530?

Answer: LCM of 3525 and 3530 is 2488650.

2. 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.

3. What are the Factors of 3530?

Answer: Factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530. There are 8 integers that are factors of 3530. The greatest factor of 3530 is 3530.

4. How to Find the LCM of 3525 and 3530?

Answer:

Least Common Multiple of 3525 and 3530 = 2488650

Step 1: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 3530

3530 = 2 x 5 x 353

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

LCM = 2488650 = 2 x 3 x 5 x 5 x 47 x 353

Step 4: Therefore, the least common multiple of 3525 and 3530 is 2488650.