Least Common Multiple of 3638 and 3645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3638 and 3645 the smallest integer that is 13260510 that is divisible by both numbers.

Least Common Multiple (LCM) of 3638 and 3645 is 13260510.

LCM(3638,3645) = 13260510

LCM of 3638 and 3645

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

LCM of:
and

Least Common Multiple of 3638 and 3645

LCM of 3638 and 3645 is 13260510

Least common multiple can be found by multiplying the highest exponent prime factors of 3638 and 3645. First we will calculate the prime factors of 3638 and 3645.

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

Prime Factorization of 3645


3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3645 are 3,5. Prime factorization of 3645 in exponential form is:

3645 = 36×51

Now multiplying the highest exponent prime factors to calculate the LCM of 3638 and 3645.

LCM(3638,3645) = 21×36×51×171×1071
LCM(3638,3645) = 13260510

Factors of 3638

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

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

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645

Least Common Multiple of 3638 and 3645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3638 and 3645, than apply into the LCM equation.

GCF(3638,3645) = 1
LCM(3638,3645) = ( 3638 × 3645) / 1
LCM(3638,3645) = 13260510 / 1
LCM(3638,3645) = 13260510

Properties of LCM 3638 and 3645

(i) The LCM of 3645 and 3638 is associative

LCM of 3638 and 3645 = LCM of 3645 and 3638

Related Least Common Multiples of 3638

Related Least Common Multiples of 3645

Frequently Asked Questions on LCM of 3638 and 3645

1. What is the LCM of 3638 and 3645?

Answer: LCM of 3638 and 3645 is 13260510.

2. 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.

3. What are the Factors of 3645?

Answer: Factors of 3645 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645. There are 14 integers that are factors of 3645. The greatest factor of 3645 is 3645.

4. How to Find the LCM of 3638 and 3645?

Answer:

Least Common Multiple of 3638 and 3645 = 13260510

Step 1: Find the prime factorization of 3638

3638 = 2 x 17 x 107

Step 2: Find the prime factorization of 3645

3645 = 3 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 13260510 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 17 x 107

Step 4: Therefore, the least common multiple of 3638 and 3645 is 13260510.