Least Common Multiple of 3648 and 3655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3648 and 3655 the smallest integer that is 13333440 that is divisible by both numbers.

Least Common Multiple (LCM) of 3648 and 3655 is 13333440.

LCM(3648,3655) = 13333440

LCM of 3648 and 3655

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

LCM of:
and

Least Common Multiple of 3648 and 3655

LCM of 3648 and 3655 is 13333440

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3655. First we will calculate the prime factors of 3648 and 3655.

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

Prime Factorization of 3655


5 3655
17 731
43 43
1

Prime factors of 3655 are 5, 17,43. Prime factorization of 3655 in exponential form is:

3655 = 51×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3655.

LCM(3648,3655) = 26×31×51×171×191×431
LCM(3648,3655) = 13333440

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

Factors of 3655

List of positive integer factors of 3655 that divides 3655 without a remainder.

1, 5, 17, 43, 85, 215, 731, 3655

Least Common Multiple of 3648 and 3655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3648 and 3655, than apply into the LCM equation.

GCF(3648,3655) = 1
LCM(3648,3655) = ( 3648 × 3655) / 1
LCM(3648,3655) = 13333440 / 1
LCM(3648,3655) = 13333440

Properties of LCM 3648 and 3655

(i) The LCM of 3655 and 3648 is associative

LCM of 3648 and 3655 = LCM of 3655 and 3648

Related Least Common Multiples of 3648

Related Least Common Multiples of 3655

Frequently Asked Questions on LCM of 3648 and 3655

1. What is the LCM of 3648 and 3655?

Answer: LCM of 3648 and 3655 is 13333440.

2. 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.

3. What are the Factors of 3655?

Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.

4. How to Find the LCM of 3648 and 3655?

Answer:

Least Common Multiple of 3648 and 3655 = 13333440

Step 1: Find the prime factorization of 3648

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

Step 2: Find the prime factorization of 3655

3655 = 5 x 17 x 43

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

LCM = 13333440 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 3648 and 3655 is 13333440.