Least Common Multiple of 3630 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 3630 and 3638 the smallest integer that is 6602970 that is divisible by both numbers.

Least Common Multiple (LCM) of 3630 and 3638 is 6602970.

LCM(3630,3638) = 6602970

LCM of 3630 and 3638

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

LCM of:
and

Least Common Multiple of 3630 and 3638

LCM of 3630 and 3638 is 6602970

Least common multiple can be found by multiplying the highest exponent prime factors of 3630 and 3638. First we will calculate the prime factors of 3630 and 3638.

Prime Factorization of 3630


2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 3630 are 2, 3, 5,11. Prime factorization of 3630 in exponential form is:

3630 = 21×31×51×112

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 3630 and 3638.

LCM(3630,3638) = 21×31×51×112×171×1071
LCM(3630,3638) = 6602970

Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630

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 3630 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 3630 and 3638, than apply into the LCM equation.

GCF(3630,3638) = 2
LCM(3630,3638) = ( 3630 × 3638) / 2
LCM(3630,3638) = 13205940 / 2
LCM(3630,3638) = 6602970

Properties of LCM 3630 and 3638

(i) The LCM of 3638 and 3630 is associative

LCM of 3630 and 3638 = LCM of 3638 and 3630

Related Least Common Multiples of 3630

Related Least Common Multiples of 3638

Frequently Asked Questions on LCM of 3630 and 3638

1. What is the LCM of 3630 and 3638?

Answer: LCM of 3630 and 3638 is 6602970.

2. What are the Factors of 3630?

Answer: Factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. There are 24 integers that are factors of 3630. The greatest factor of 3630 is 3630.

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 3630 and 3638?

Answer:

Least Common Multiple of 3630 and 3638 = 6602970

Step 1: Find the prime factorization of 3630

3630 = 2 x 3 x 5 x 11 x 11

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 = 6602970 = 2 x 3 x 5 x 11 x 11 x 17 x 107

Step 4: Therefore, the least common multiple of 3630 and 3638 is 6602970.