Least Common Multiple of 3638 and 3644

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 3644 the smallest integer that is 6628436 that is divisible by both numbers.

Least Common Multiple (LCM) of 3638 and 3644 is 6628436.

LCM(3638,3644) = 6628436

LCM of 3638 and 3644

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

LCM of:
and

Least Common Multiple of 3638 and 3644

LCM of 3638 and 3644 is 6628436

Least common multiple can be found by multiplying the highest exponent prime factors of 3638 and 3644. First we will calculate the prime factors of 3638 and 3644.

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 3644


2 3644
2 1822
911 911
1

Prime factors of 3644 are 2,911. Prime factorization of 3644 in exponential form is:

3644 = 22×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 3638 and 3644.

LCM(3638,3644) = 22×171×1071×9111
LCM(3638,3644) = 6628436

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 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1, 2, 4, 911, 1822, 3644

Least Common Multiple of 3638 and 3644 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 3644, than apply into the LCM equation.

GCF(3638,3644) = 2
LCM(3638,3644) = ( 3638 × 3644) / 2
LCM(3638,3644) = 13256872 / 2
LCM(3638,3644) = 6628436

Properties of LCM 3638 and 3644

(i) The LCM of 3644 and 3638 is associative

LCM of 3638 and 3644 = LCM of 3644 and 3638

Related Least Common Multiples of 3638

Related Least Common Multiples of 3644

Frequently Asked Questions on LCM of 3638 and 3644

1. What is the LCM of 3638 and 3644?

Answer: LCM of 3638 and 3644 is 6628436.

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 3644?

Answer: Factors of 3644 are 1, 2, 4, 911, 1822, 3644. There are 6 integers that are factors of 3644. The greatest factor of 3644 is 3644.

4. How to Find the LCM of 3638 and 3644?

Answer:

Least Common Multiple of 3638 and 3644 = 6628436

Step 1: Find the prime factorization of 3638

3638 = 2 x 17 x 107

Step 2: Find the prime factorization of 3644

3644 = 2 x 2 x 911

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

LCM = 6628436 = 2 x 2 x 17 x 107 x 911

Step 4: Therefore, the least common multiple of 3638 and 3644 is 6628436.