Least Common Multiple of 3575 and 3581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3575 and 3581 the smallest integer that is 12802075 that is divisible by both numbers.

Least Common Multiple (LCM) of 3575 and 3581 is 12802075.

LCM(3575,3581) = 12802075

LCM of 3575 and 3581

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

LCM of:
and

Least Common Multiple of 3575 and 3581

LCM of 3575 and 3581 is 12802075

Least common multiple can be found by multiplying the highest exponent prime factors of 3575 and 3581. First we will calculate the prime factors of 3575 and 3581.

Prime Factorization of 3575


5 3575
5 715
11 143
13 13
1

Prime factors of 3575 are 5, 11,13. Prime factorization of 3575 in exponential form is:

3575 = 52×111×131

Prime Factorization of 3581


3581 3581
1

Prime factors of 3581 are 3581. Prime factorization of 3581 in exponential form is:

3581 = 35811

Now multiplying the highest exponent prime factors to calculate the LCM of 3575 and 3581.

LCM(3575,3581) = 52×111×131×35811
LCM(3575,3581) = 12802075

Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

Factors of 3581

List of positive integer factors of 3581 that divides 3581 without a remainder.

1, 3581

Least Common Multiple of 3575 and 3581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3575 and 3581, than apply into the LCM equation.

GCF(3575,3581) = 1
LCM(3575,3581) = ( 3575 × 3581) / 1
LCM(3575,3581) = 12802075 / 1
LCM(3575,3581) = 12802075

Properties of LCM 3575 and 3581

(i) The LCM of 3581 and 3575 is associative

LCM of 3575 and 3581 = LCM of 3581 and 3575

Related Least Common Multiples of 3575

Related Least Common Multiples of 3581

Frequently Asked Questions on LCM of 3575 and 3581

1. What is the LCM of 3575 and 3581?

Answer: LCM of 3575 and 3581 is 12802075.

2. What are the Factors of 3575?

Answer: Factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575. There are 12 integers that are factors of 3575. The greatest factor of 3575 is 3575.

3. What are the Factors of 3581?

Answer: Factors of 3581 are 1, 3581. There are 2 integers that are factors of 3581. The greatest factor of 3581 is 3581.

4. How to Find the LCM of 3575 and 3581?

Answer:

Least Common Multiple of 3575 and 3581 = 12802075

Step 1: Find the prime factorization of 3575

3575 = 5 x 5 x 11 x 13

Step 2: Find the prime factorization of 3581

3581 = 3581

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

LCM = 12802075 = 5 x 5 x 11 x 13 x 3581

Step 4: Therefore, the least common multiple of 3575 and 3581 is 12802075.