Least Common Multiple of 3626 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 3626 and 3631 the smallest integer that is 13166006 that is divisible by both numbers.

Least Common Multiple (LCM) of 3626 and 3631 is 13166006.

LCM(3626,3631) = 13166006

LCM of 3626 and 3631

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

LCM of:
and

Least Common Multiple of 3626 and 3631

LCM of 3626 and 3631 is 13166006

Least common multiple can be found by multiplying the highest exponent prime factors of 3626 and 3631. First we will calculate the prime factors of 3626 and 3631.

Prime Factorization of 3626


2 3626
7 1813
7 259
37 37
1

Prime factors of 3626 are 2, 7,37. Prime factorization of 3626 in exponential form is:

3626 = 21×72×371

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 3626 and 3631.

LCM(3626,3631) = 21×72×371×36311
LCM(3626,3631) = 13166006

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626

Factors of 3631

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

1, 3631

Least Common Multiple of 3626 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 3626 and 3631, than apply into the LCM equation.

GCF(3626,3631) = 1
LCM(3626,3631) = ( 3626 × 3631) / 1
LCM(3626,3631) = 13166006 / 1
LCM(3626,3631) = 13166006

Properties of LCM 3626 and 3631

(i) The LCM of 3631 and 3626 is associative

LCM of 3626 and 3631 = LCM of 3631 and 3626

Related Least Common Multiples of 3626

Related Least Common Multiples of 3631

Frequently Asked Questions on LCM of 3626 and 3631

1. What is the LCM of 3626 and 3631?

Answer: LCM of 3626 and 3631 is 13166006.

2. What are the Factors of 3626?

Answer: Factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626. There are 12 integers that are factors of 3626. The greatest factor of 3626 is 3626.

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 3626 and 3631?

Answer:

Least Common Multiple of 3626 and 3631 = 13166006

Step 1: Find the prime factorization of 3626

3626 = 2 x 7 x 7 x 37

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 = 13166006 = 2 x 7 x 7 x 37 x 3631

Step 4: Therefore, the least common multiple of 3626 and 3631 is 13166006.