Least Common Multiple of 3631 and 3635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3631 and 3635 the smallest integer that is 13198685 that is divisible by both numbers.

Least Common Multiple (LCM) of 3631 and 3635 is 13198685.

LCM(3631,3635) = 13198685

LCM of 3631 and 3635

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

LCM of:
and

Least Common Multiple of 3631 and 3635

LCM of 3631 and 3635 is 13198685

Least common multiple can be found by multiplying the highest exponent prime factors of 3631 and 3635. First we will calculate the prime factors of 3631 and 3635.

Prime Factorization of 3631


3631 3631
1

Prime factors of 3631 are 3631. Prime factorization of 3631 in exponential form is:

3631 = 36311

Prime Factorization of 3635


5 3635
727 727
1

Prime factors of 3635 are 5,727. Prime factorization of 3635 in exponential form is:

3635 = 51×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 3631 and 3635.

LCM(3631,3635) = 51×7271×36311
LCM(3631,3635) = 13198685

Factors of 3631

List of positive integer factors of 3631 that divides 3631 without a remainder.

1, 3631

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1, 5, 727, 3635

Least Common Multiple of 3631 and 3635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3631 and 3635, than apply into the LCM equation.

GCF(3631,3635) = 1
LCM(3631,3635) = ( 3631 × 3635) / 1
LCM(3631,3635) = 13198685 / 1
LCM(3631,3635) = 13198685

Properties of LCM 3631 and 3635

(i) The LCM of 3635 and 3631 is associative

LCM of 3631 and 3635 = LCM of 3635 and 3631

Related Least Common Multiples of 3631

Related Least Common Multiples of 3635

Frequently Asked Questions on LCM of 3631 and 3635

1. What is the LCM of 3631 and 3635?

Answer: LCM of 3631 and 3635 is 13198685.

2. What are the Factors of 3631?

Answer: Factors of 3631 are 1, 3631. There are 2 integers that are factors of 3631. The greatest factor of 3631 is 3631.

3. What are the Factors of 3635?

Answer: Factors of 3635 are 1, 5, 727, 3635. There are 4 integers that are factors of 3635. The greatest factor of 3635 is 3635.

4. How to Find the LCM of 3631 and 3635?

Answer:

Least Common Multiple of 3631 and 3635 = 13198685

Step 1: Find the prime factorization of 3631

3631 = 3631

Step 2: Find the prime factorization of 3635

3635 = 5 x 727

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

LCM = 13198685 = 5 x 727 x 3631

Step 4: Therefore, the least common multiple of 3631 and 3635 is 13198685.