Least Common Multiple of 3640 and 3641

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 3641 the smallest integer that is 13253240 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3641 is 13253240.

LCM(3640,3641) = 13253240

LCM of 3640 and 3641

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

LCM of:
and

Least Common Multiple of 3640 and 3641

LCM of 3640 and 3641 is 13253240

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3641. First we will calculate the prime factors of 3640 and 3641.

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 3641


11 3641
331 331
1

Prime factors of 3641 are 11,331. Prime factorization of 3641 in exponential form is:

3641 = 111×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3641.

LCM(3640,3641) = 23×51×71×111×131×3311
LCM(3640,3641) = 13253240

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 3641

List of positive integer factors of 3641 that divides 3641 without a remainder.

1, 11, 331, 3641

Least Common Multiple of 3640 and 3641 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 3641, than apply into the LCM equation.

GCF(3640,3641) = 1
LCM(3640,3641) = ( 3640 × 3641) / 1
LCM(3640,3641) = 13253240 / 1
LCM(3640,3641) = 13253240

Properties of LCM 3640 and 3641

(i) The LCM of 3641 and 3640 is associative

LCM of 3640 and 3641 = LCM of 3641 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3641

Frequently Asked Questions on LCM of 3640 and 3641

1. What is the LCM of 3640 and 3641?

Answer: LCM of 3640 and 3641 is 13253240.

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 3641?

Answer: Factors of 3641 are 1, 11, 331, 3641. There are 4 integers that are factors of 3641. The greatest factor of 3641 is 3641.

4. How to Find the LCM of 3640 and 3641?

Answer:

Least Common Multiple of 3640 and 3641 = 13253240

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 3641

3641 = 11 x 331

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

LCM = 13253240 = 2 x 2 x 2 x 5 x 7 x 11 x 13 x 331

Step 4: Therefore, the least common multiple of 3640 and 3641 is 13253240.