Least Common Multiple of 3633 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 3633 and 3640 the smallest integer that is 1889160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3633 and 3640 is 1889160.

LCM(3633,3640) = 1889160

LCM of 3633 and 3640

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

LCM of:
and

Least Common Multiple of 3633 and 3640

LCM of 3633 and 3640 is 1889160

Least common multiple can be found by multiplying the highest exponent prime factors of 3633 and 3640. First we will calculate the prime factors of 3633 and 3640.

Prime Factorization of 3633


3 3633
7 1211
173 173
1

Prime factors of 3633 are 3, 7,173. Prime factorization of 3633 in exponential form is:

3633 = 31×71×1731

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 3633 and 3640.

LCM(3633,3640) = 23×31×51×71×131×1731
LCM(3633,3640) = 1889160

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1, 3, 7, 21, 173, 519, 1211, 3633

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 3633 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 3633 and 3640, than apply into the LCM equation.

GCF(3633,3640) = 7
LCM(3633,3640) = ( 3633 × 3640) / 7
LCM(3633,3640) = 13224120 / 7
LCM(3633,3640) = 1889160

Properties of LCM 3633 and 3640

(i) The LCM of 3640 and 3633 is associative

LCM of 3633 and 3640 = LCM of 3640 and 3633

Related Least Common Multiples of 3633

Related Least Common Multiples of 3640

Frequently Asked Questions on LCM of 3633 and 3640

1. What is the LCM of 3633 and 3640?

Answer: LCM of 3633 and 3640 is 1889160.

2. What are the Factors of 3633?

Answer: Factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633. There are 8 integers that are factors of 3633. The greatest factor of 3633 is 3633.

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 3633 and 3640?

Answer:

Least Common Multiple of 3633 and 3640 = 1889160

Step 1: Find the prime factorization of 3633

3633 = 3 x 7 x 173

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 = 1889160 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 173

Step 4: Therefore, the least common multiple of 3633 and 3640 is 1889160.