Least Common Multiple of 3640 and 3647

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 3647 the smallest integer that is 1896440 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3647 is 1896440.

LCM(3640,3647) = 1896440

LCM of 3640 and 3647

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

LCM of:
and

Least Common Multiple of 3640 and 3647

LCM of 3640 and 3647 is 1896440

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3647. First we will calculate the prime factors of 3640 and 3647.

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 3647


7 3647
521 521
1

Prime factors of 3647 are 7,521. Prime factorization of 3647 in exponential form is:

3647 = 71×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3647.

LCM(3640,3647) = 23×51×71×131×5211
LCM(3640,3647) = 1896440

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 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1, 7, 521, 3647

Least Common Multiple of 3640 and 3647 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 3647, than apply into the LCM equation.

GCF(3640,3647) = 7
LCM(3640,3647) = ( 3640 × 3647) / 7
LCM(3640,3647) = 13275080 / 7
LCM(3640,3647) = 1896440

Properties of LCM 3640 and 3647

(i) The LCM of 3647 and 3640 is associative

LCM of 3640 and 3647 = LCM of 3647 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3647

Frequently Asked Questions on LCM of 3640 and 3647

1. What is the LCM of 3640 and 3647?

Answer: LCM of 3640 and 3647 is 1896440.

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 3647?

Answer: Factors of 3647 are 1, 7, 521, 3647. There are 4 integers that are factors of 3647. The greatest factor of 3647 is 3647.

4. How to Find the LCM of 3640 and 3647?

Answer:

Least Common Multiple of 3640 and 3647 = 1896440

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 3647

3647 = 7 x 521

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

LCM = 1896440 = 2 x 2 x 2 x 5 x 7 x 13 x 521

Step 4: Therefore, the least common multiple of 3640 and 3647 is 1896440.