Least Common Multiple of 3640 and 3643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3640 and 3643 the smallest integer that is 13260520 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3643 is 13260520.

LCM(3640,3643) = 13260520

LCM of 3640 and 3643

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

LCM of:
and

Least Common Multiple of 3640 and 3643

LCM of 3640 and 3643 is 13260520

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3643. First we will calculate the prime factors of 3640 and 3643.

Prime Factorization of 3640


2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 3640 are 2, 5, 7,13. Prime factorization of 3640 in exponential form is:

3640 = 23×51×71×131

Prime Factorization of 3643


3643 3643
1

Prime factors of 3643 are 3643. Prime factorization of 3643 in exponential form is:

3643 = 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3643.

LCM(3640,3643) = 23×51×71×131×36431
LCM(3640,3643) = 13260520

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640

Factors of 3643

List of positive integer factors of 3643 that divides 3643 without a remainder.

1, 3643

Least Common Multiple of 3640 and 3643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3640 and 3643, than apply into the LCM equation.

GCF(3640,3643) = 1
LCM(3640,3643) = ( 3640 × 3643) / 1
LCM(3640,3643) = 13260520 / 1
LCM(3640,3643) = 13260520

Properties of LCM 3640 and 3643

(i) The LCM of 3643 and 3640 is associative

LCM of 3640 and 3643 = LCM of 3643 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3643

Frequently Asked Questions on LCM of 3640 and 3643

1. What is the LCM of 3640 and 3643?

Answer: LCM of 3640 and 3643 is 13260520.

2. What are the Factors of 3640?

Answer: Factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. There are 32 integers that are factors of 3640. The greatest factor of 3640 is 3640.

3. What are the Factors of 3643?

Answer: Factors of 3643 are 1, 3643. There are 2 integers that are factors of 3643. The greatest factor of 3643 is 3643.

4. How to Find the LCM of 3640 and 3643?

Answer:

Least Common Multiple of 3640 and 3643 = 13260520

Step 1: Find the prime factorization of 3640

3640 = 2 x 2 x 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 3643

3643 = 3643

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

LCM = 13260520 = 2 x 2 x 2 x 5 x 7 x 13 x 3643

Step 4: Therefore, the least common multiple of 3640 and 3643 is 13260520.