Least Common Multiple of 3628 and 3630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3628 and 3630 the smallest integer that is 6584820 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3630 is 6584820.

LCM(3628,3630) = 6584820

LCM of 3628 and 3630

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

LCM of:
and

Least Common Multiple of 3628 and 3630

LCM of 3628 and 3630 is 6584820

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3630. First we will calculate the prime factors of 3628 and 3630.

Prime Factorization of 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3630.

LCM(3628,3630) = 22×31×51×112×9071
LCM(3628,3630) = 6584820

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1, 2, 4, 907, 1814, 3628

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

Least Common Multiple of 3628 and 3630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3628 and 3630, than apply into the LCM equation.

GCF(3628,3630) = 2
LCM(3628,3630) = ( 3628 × 3630) / 2
LCM(3628,3630) = 13169640 / 2
LCM(3628,3630) = 6584820

Properties of LCM 3628 and 3630

(i) The LCM of 3630 and 3628 is associative

LCM of 3628 and 3630 = LCM of 3630 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3630

Frequently Asked Questions on LCM of 3628 and 3630

1. What is the LCM of 3628 and 3630?

Answer: LCM of 3628 and 3630 is 6584820.

2. What are the Factors of 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

3. 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.

4. How to Find the LCM of 3628 and 3630?

Answer:

Least Common Multiple of 3628 and 3630 = 6584820

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3630

3630 = 2 x 3 x 5 x 11 x 11

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

LCM = 6584820 = 2 x 2 x 3 x 5 x 11 x 11 x 907

Step 4: Therefore, the least common multiple of 3628 and 3630 is 6584820.