Least Common Multiple of 3640 and 3648

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 3648 the smallest integer that is 1659840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3648 is 1659840.

LCM(3640,3648) = 1659840

LCM of 3640 and 3648

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

LCM of:
and

Least Common Multiple of 3640 and 3648

LCM of 3640 and 3648 is 1659840

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3648. First we will calculate the prime factors of 3640 and 3648.

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 3648


2 3648
2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 3648 are 2, 3,19. Prime factorization of 3648 in exponential form is:

3648 = 26×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3648.

LCM(3640,3648) = 26×31×51×71×131×191
LCM(3640,3648) = 1659840

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 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648

Least Common Multiple of 3640 and 3648 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 3648, than apply into the LCM equation.

GCF(3640,3648) = 8
LCM(3640,3648) = ( 3640 × 3648) / 8
LCM(3640,3648) = 13278720 / 8
LCM(3640,3648) = 1659840

Properties of LCM 3640 and 3648

(i) The LCM of 3648 and 3640 is associative

LCM of 3640 and 3648 = LCM of 3648 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3648

Frequently Asked Questions on LCM of 3640 and 3648

1. What is the LCM of 3640 and 3648?

Answer: LCM of 3640 and 3648 is 1659840.

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 3648?

Answer: Factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648. There are 28 integers that are factors of 3648. The greatest factor of 3648 is 3648.

4. How to Find the LCM of 3640 and 3648?

Answer:

Least Common Multiple of 3640 and 3648 = 1659840

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 3648

3648 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19

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

LCM = 1659840 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 3640 and 3648 is 1659840.