Least Common Multiple of 3525 and 3533

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 3533 the smallest integer that is 12453825 that is divisible by both numbers.

Least Common Multiple (LCM) of 3525 and 3533 is 12453825.

LCM(3525,3533) = 12453825

LCM of 3525 and 3533

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

LCM of:
and

Least Common Multiple of 3525 and 3533

LCM of 3525 and 3533 is 12453825

Least common multiple can be found by multiplying the highest exponent prime factors of 3525 and 3533. First we will calculate the prime factors of 3525 and 3533.

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 3533


3533 3533
1

Prime factors of 3533 are 3533. Prime factorization of 3533 in exponential form is:

3533 = 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 3525 and 3533.

LCM(3525,3533) = 31×52×471×35331
LCM(3525,3533) = 12453825

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 3533

List of positive integer factors of 3533 that divides 3533 without a remainder.

1, 3533

Least Common Multiple of 3525 and 3533 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 3533, than apply into the LCM equation.

GCF(3525,3533) = 1
LCM(3525,3533) = ( 3525 × 3533) / 1
LCM(3525,3533) = 12453825 / 1
LCM(3525,3533) = 12453825

Properties of LCM 3525 and 3533

(i) The LCM of 3533 and 3525 is associative

LCM of 3525 and 3533 = LCM of 3533 and 3525

Related Least Common Multiples of 3525

Related Least Common Multiples of 3533

Frequently Asked Questions on LCM of 3525 and 3533

1. What is the LCM of 3525 and 3533?

Answer: LCM of 3525 and 3533 is 12453825.

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 3533?

Answer: Factors of 3533 are 1, 3533. There are 2 integers that are factors of 3533. The greatest factor of 3533 is 3533.

4. How to Find the LCM of 3525 and 3533?

Answer:

Least Common Multiple of 3525 and 3533 = 12453825

Step 1: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 3533

3533 = 3533

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

LCM = 12453825 = 3 x 5 x 5 x 47 x 3533

Step 4: Therefore, the least common multiple of 3525 and 3533 is 12453825.