Least Common Multiple of 3632 and 3640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3632 and 3640 the smallest integer that is 1652560 that is divisible by both numbers.

Least Common Multiple (LCM) of 3632 and 3640 is 1652560.

LCM(3632,3640) = 1652560

LCM of 3632 and 3640

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

LCM of:
and

Least Common Multiple of 3632 and 3640

LCM of 3632 and 3640 is 1652560

Least common multiple can be found by multiplying the highest exponent prime factors of 3632 and 3640. First we will calculate the prime factors of 3632 and 3640.

Prime Factorization of 3632


2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 3632 are 2,227. Prime factorization of 3632 in exponential form is:

3632 = 24×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3632 and 3640.

LCM(3632,3640) = 24×51×71×131×2271
LCM(3632,3640) = 1652560

Factors of 3632

List of positive integer factors of 3632 that divides 3632 without a remainder.

1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632

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

Least Common Multiple of 3632 and 3640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3632 and 3640, than apply into the LCM equation.

GCF(3632,3640) = 8
LCM(3632,3640) = ( 3632 × 3640) / 8
LCM(3632,3640) = 13220480 / 8
LCM(3632,3640) = 1652560

Properties of LCM 3632 and 3640

(i) The LCM of 3640 and 3632 is associative

LCM of 3632 and 3640 = LCM of 3640 and 3632

Related Least Common Multiples of 3632

Related Least Common Multiples of 3640

Frequently Asked Questions on LCM of 3632 and 3640

1. What is the LCM of 3632 and 3640?

Answer: LCM of 3632 and 3640 is 1652560.

2. What are the Factors of 3632?

Answer: Factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632. There are 10 integers that are factors of 3632. The greatest factor of 3632 is 3632.

3. 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.

4. How to Find the LCM of 3632 and 3640?

Answer:

Least Common Multiple of 3632 and 3640 = 1652560

Step 1: Find the prime factorization of 3632

3632 = 2 x 2 x 2 x 2 x 227

Step 2: Find the prime factorization of 3640

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

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

LCM = 1652560 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 227

Step 4: Therefore, the least common multiple of 3632 and 3640 is 1652560.