Least Common Multiple of 3640 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 3640 and 3644 the smallest integer that is 3316040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3644 is 3316040.

LCM(3640,3644) = 3316040

LCM of 3640 and 3644

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

LCM of:
and

Least Common Multiple of 3640 and 3644

LCM of 3640 and 3644 is 3316040

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3644. First we will calculate the prime factors of 3640 and 3644.

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 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 3640 and 3644.

LCM(3640,3644) = 23×51×71×131×9111
LCM(3640,3644) = 3316040

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 3644

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

1, 2, 4, 911, 1822, 3644

Least Common Multiple of 3640 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 3640 and 3644, than apply into the LCM equation.

GCF(3640,3644) = 4
LCM(3640,3644) = ( 3640 × 3644) / 4
LCM(3640,3644) = 13264160 / 4
LCM(3640,3644) = 3316040

Properties of LCM 3640 and 3644

(i) The LCM of 3644 and 3640 is associative

LCM of 3640 and 3644 = LCM of 3644 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3644

Frequently Asked Questions on LCM of 3640 and 3644

1. What is the LCM of 3640 and 3644?

Answer: LCM of 3640 and 3644 is 3316040.

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 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 3640 and 3644?

Answer:

Least Common Multiple of 3640 and 3644 = 3316040

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 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 = 3316040 = 2 x 2 x 2 x 5 x 7 x 13 x 911

Step 4: Therefore, the least common multiple of 3640 and 3644 is 3316040.