Least Common Multiple of 3628 and 3631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3628 and 3631 the smallest integer that is 13173268 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3631 is 13173268.

LCM(3628,3631) = 13173268

LCM of 3628 and 3631

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

LCM of:
and

Least Common Multiple of 3628 and 3631

LCM of 3628 and 3631 is 13173268

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3631. First we will calculate the prime factors of 3628 and 3631.

Prime Factorization of 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

Prime Factorization of 3631


3631 3631
1

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

3631 = 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3631.

LCM(3628,3631) = 22×9071×36311
LCM(3628,3631) = 13173268

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1, 2, 4, 907, 1814, 3628

Factors of 3631

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

1, 3631

Least Common Multiple of 3628 and 3631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3628 and 3631, than apply into the LCM equation.

GCF(3628,3631) = 1
LCM(3628,3631) = ( 3628 × 3631) / 1
LCM(3628,3631) = 13173268 / 1
LCM(3628,3631) = 13173268

Properties of LCM 3628 and 3631

(i) The LCM of 3631 and 3628 is associative

LCM of 3628 and 3631 = LCM of 3631 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3631

Frequently Asked Questions on LCM of 3628 and 3631

1. What is the LCM of 3628 and 3631?

Answer: LCM of 3628 and 3631 is 13173268.

2. What are the Factors of 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

3. 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.

4. How to Find the LCM of 3628 and 3631?

Answer:

Least Common Multiple of 3628 and 3631 = 13173268

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3631

3631 = 3631

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

LCM = 13173268 = 2 x 2 x 907 x 3631

Step 4: Therefore, the least common multiple of 3628 and 3631 is 13173268.