Least Common Multiple of 3623 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 3623 and 3631 the smallest integer that is 13155113 that is divisible by both numbers.

Least Common Multiple (LCM) of 3623 and 3631 is 13155113.

LCM(3623,3631) = 13155113

LCM of 3623 and 3631

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

LCM of:
and

Least Common Multiple of 3623 and 3631

LCM of 3623 and 3631 is 13155113

Least common multiple can be found by multiplying the highest exponent prime factors of 3623 and 3631. First we will calculate the prime factors of 3623 and 3631.

Prime Factorization of 3623


3623 3623
1

Prime factors of 3623 are 3623. Prime factorization of 3623 in exponential form is:

3623 = 36231

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 3623 and 3631.

LCM(3623,3631) = 36231×36311
LCM(3623,3631) = 13155113

Factors of 3623

List of positive integer factors of 3623 that divides 3623 without a remainder.

1, 3623

Factors of 3631

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

1, 3631

Least Common Multiple of 3623 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 3623 and 3631, than apply into the LCM equation.

GCF(3623,3631) = 1
LCM(3623,3631) = ( 3623 × 3631) / 1
LCM(3623,3631) = 13155113 / 1
LCM(3623,3631) = 13155113

Properties of LCM 3623 and 3631

(i) The LCM of 3631 and 3623 is associative

LCM of 3623 and 3631 = LCM of 3631 and 3623

Related Least Common Multiples of 3623

Related Least Common Multiples of 3631

Frequently Asked Questions on LCM of 3623 and 3631

1. What is the LCM of 3623 and 3631?

Answer: LCM of 3623 and 3631 is 13155113.

2. What are the Factors of 3623?

Answer: Factors of 3623 are 1, 3623. There are 2 integers that are factors of 3623. The greatest factor of 3623 is 3623.

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 3623 and 3631?

Answer:

Least Common Multiple of 3623 and 3631 = 13155113

Step 1: Find the prime factorization of 3623

3623 = 3623

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 = 13155113 = 3623 x 3631

Step 4: Therefore, the least common multiple of 3623 and 3631 is 13155113.