Least Common Multiple of 3633 and 3638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3633 and 3638 the smallest integer that is 13216854 that is divisible by both numbers.

Least Common Multiple (LCM) of 3633 and 3638 is 13216854.

LCM(3633,3638) = 13216854

LCM of 3633 and 3638

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

LCM of:
and

Least Common Multiple of 3633 and 3638

LCM of 3633 and 3638 is 13216854

Least common multiple can be found by multiplying the highest exponent prime factors of 3633 and 3638. First we will calculate the prime factors of 3633 and 3638.

Prime Factorization of 3633


3 3633
7 1211
173 173
1

Prime factors of 3633 are 3, 7,173. Prime factorization of 3633 in exponential form is:

3633 = 31×71×1731

Prime Factorization of 3638


2 3638
17 1819
107 107
1

Prime factors of 3638 are 2, 17,107. Prime factorization of 3638 in exponential form is:

3638 = 21×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3633 and 3638.

LCM(3633,3638) = 21×31×71×171×1071×1731
LCM(3633,3638) = 13216854

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1, 3, 7, 21, 173, 519, 1211, 3633

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1, 2, 17, 34, 107, 214, 1819, 3638

Least Common Multiple of 3633 and 3638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3633 and 3638, than apply into the LCM equation.

GCF(3633,3638) = 1
LCM(3633,3638) = ( 3633 × 3638) / 1
LCM(3633,3638) = 13216854 / 1
LCM(3633,3638) = 13216854

Properties of LCM 3633 and 3638

(i) The LCM of 3638 and 3633 is associative

LCM of 3633 and 3638 = LCM of 3638 and 3633

Related Least Common Multiples of 3633

Related Least Common Multiples of 3638

Frequently Asked Questions on LCM of 3633 and 3638

1. What is the LCM of 3633 and 3638?

Answer: LCM of 3633 and 3638 is 13216854.

2. What are the Factors of 3633?

Answer: Factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633. There are 8 integers that are factors of 3633. The greatest factor of 3633 is 3633.

3. What are the Factors of 3638?

Answer: Factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638. There are 8 integers that are factors of 3638. The greatest factor of 3638 is 3638.

4. How to Find the LCM of 3633 and 3638?

Answer:

Least Common Multiple of 3633 and 3638 = 13216854

Step 1: Find the prime factorization of 3633

3633 = 3 x 7 x 173

Step 2: Find the prime factorization of 3638

3638 = 2 x 17 x 107

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

LCM = 13216854 = 2 x 3 x 7 x 17 x 107 x 173

Step 4: Therefore, the least common multiple of 3633 and 3638 is 13216854.