Least Common Multiple of 3631 and 3637

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 3637 the smallest integer that is 13205947 that is divisible by both numbers.

Least Common Multiple (LCM) of 3631 and 3637 is 13205947.

LCM(3631,3637) = 13205947

LCM of 3631 and 3637

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

LCM of:
and

Least Common Multiple of 3631 and 3637

LCM of 3631 and 3637 is 13205947

Least common multiple can be found by multiplying the highest exponent prime factors of 3631 and 3637. First we will calculate the prime factors of 3631 and 3637.

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 3637


3637 3637
1

Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:

3637 = 36371

Now multiplying the highest exponent prime factors to calculate the LCM of 3631 and 3637.

LCM(3631,3637) = 36311×36371
LCM(3631,3637) = 13205947

Factors of 3631

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

1, 3631

Factors of 3637

List of positive integer factors of 3637 that divides 3637 without a remainder.

1, 3637

Least Common Multiple of 3631 and 3637 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 3637, than apply into the LCM equation.

GCF(3631,3637) = 1
LCM(3631,3637) = ( 3631 × 3637) / 1
LCM(3631,3637) = 13205947 / 1
LCM(3631,3637) = 13205947

Properties of LCM 3631 and 3637

(i) The LCM of 3637 and 3631 is associative

LCM of 3631 and 3637 = LCM of 3637 and 3631

Related Least Common Multiples of 3631

Related Least Common Multiples of 3637

Frequently Asked Questions on LCM of 3631 and 3637

1. What is the LCM of 3631 and 3637?

Answer: LCM of 3631 and 3637 is 13205947.

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 3637?

Answer: Factors of 3637 are 1, 3637. There are 2 integers that are factors of 3637. The greatest factor of 3637 is 3637.

4. How to Find the LCM of 3631 and 3637?

Answer:

Least Common Multiple of 3631 and 3637 = 13205947

Step 1: Find the prime factorization of 3631

3631 = 3631

Step 2: Find the prime factorization of 3637

3637 = 3637

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

LCM = 13205947 = 3631 x 3637

Step 4: Therefore, the least common multiple of 3631 and 3637 is 13205947.