Least Common Multiple of 3640 and 3645

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 3645 the smallest integer that is 2653560 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3645 is 2653560.

LCM(3640,3645) = 2653560

LCM of 3640 and 3645

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

LCM of:
and

Least Common Multiple of 3640 and 3645

LCM of 3640 and 3645 is 2653560

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3645. First we will calculate the prime factors of 3640 and 3645.

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 3645


3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3645 are 3,5. Prime factorization of 3645 in exponential form is:

3645 = 36×51

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3645.

LCM(3640,3645) = 23×36×51×71×131
LCM(3640,3645) = 2653560

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 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645

Least Common Multiple of 3640 and 3645 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 3645, than apply into the LCM equation.

GCF(3640,3645) = 5
LCM(3640,3645) = ( 3640 × 3645) / 5
LCM(3640,3645) = 13267800 / 5
LCM(3640,3645) = 2653560

Properties of LCM 3640 and 3645

(i) The LCM of 3645 and 3640 is associative

LCM of 3640 and 3645 = LCM of 3645 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3645

Frequently Asked Questions on LCM of 3640 and 3645

1. What is the LCM of 3640 and 3645?

Answer: LCM of 3640 and 3645 is 2653560.

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 3645?

Answer: Factors of 3645 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645. There are 14 integers that are factors of 3645. The greatest factor of 3645 is 3645.

4. How to Find the LCM of 3640 and 3645?

Answer:

Least Common Multiple of 3640 and 3645 = 2653560

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 3645

3645 = 3 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 2653560 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 3640 and 3645 is 2653560.