Least Common Multiple of 3621 and 3628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3621 and 3628 the smallest integer that is 13136988 that is divisible by both numbers.

Least Common Multiple (LCM) of 3621 and 3628 is 13136988.

LCM(3621,3628) = 13136988

LCM of 3621 and 3628

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

LCM of:
and

Least Common Multiple of 3621 and 3628

LCM of 3621 and 3628 is 13136988

Least common multiple can be found by multiplying the highest exponent prime factors of 3621 and 3628. First we will calculate the prime factors of 3621 and 3628.

Prime Factorization of 3621


3 3621
17 1207
71 71
1

Prime factors of 3621 are 3, 17,71. Prime factorization of 3621 in exponential form is:

3621 = 31×171×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3621 and 3628.

LCM(3621,3628) = 22×31×171×711×9071
LCM(3621,3628) = 13136988

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1, 3, 17, 51, 71, 213, 1207, 3621

Factors of 3628

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

1, 2, 4, 907, 1814, 3628

Least Common Multiple of 3621 and 3628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3621 and 3628, than apply into the LCM equation.

GCF(3621,3628) = 1
LCM(3621,3628) = ( 3621 × 3628) / 1
LCM(3621,3628) = 13136988 / 1
LCM(3621,3628) = 13136988

Properties of LCM 3621 and 3628

(i) The LCM of 3628 and 3621 is associative

LCM of 3621 and 3628 = LCM of 3628 and 3621

Related Least Common Multiples of 3621

Related Least Common Multiples of 3628

Frequently Asked Questions on LCM of 3621 and 3628

1. What is the LCM of 3621 and 3628?

Answer: LCM of 3621 and 3628 is 13136988.

2. What are the Factors of 3621?

Answer: Factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621. There are 8 integers that are factors of 3621. The greatest factor of 3621 is 3621.

3. 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.

4. How to Find the LCM of 3621 and 3628?

Answer:

Least Common Multiple of 3621 and 3628 = 13136988

Step 1: Find the prime factorization of 3621

3621 = 3 x 17 x 71

Step 2: Find the prime factorization of 3628

3628 = 2 x 2 x 907

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

LCM = 13136988 = 2 x 2 x 3 x 17 x 71 x 907

Step 4: Therefore, the least common multiple of 3621 and 3628 is 13136988.