Least Common Multiple of 3648 and 3656

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 3656 the smallest integer that is 1667136 that is divisible by both numbers.

Least Common Multiple (LCM) of 3648 and 3656 is 1667136.

LCM(3648,3656) = 1667136

LCM of 3648 and 3656

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

LCM of:
and

Least Common Multiple of 3648 and 3656

LCM of 3648 and 3656 is 1667136

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3656. First we will calculate the prime factors of 3648 and 3656.

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 3656


2 3656
2 1828
2 914
457 457
1

Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:

3656 = 23×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3656.

LCM(3648,3656) = 26×31×191×4571
LCM(3648,3656) = 1667136

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 3656

List of positive integer factors of 3656 that divides 3656 without a remainder.

1, 2, 4, 8, 457, 914, 1828, 3656

Least Common Multiple of 3648 and 3656 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 3656, than apply into the LCM equation.

GCF(3648,3656) = 8
LCM(3648,3656) = ( 3648 × 3656) / 8
LCM(3648,3656) = 13337088 / 8
LCM(3648,3656) = 1667136

Properties of LCM 3648 and 3656

(i) The LCM of 3656 and 3648 is associative

LCM of 3648 and 3656 = LCM of 3656 and 3648

Related Least Common Multiples of 3648

Related Least Common Multiples of 3656

Frequently Asked Questions on LCM of 3648 and 3656

1. What is the LCM of 3648 and 3656?

Answer: LCM of 3648 and 3656 is 1667136.

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 3656?

Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.

4. How to Find the LCM of 3648 and 3656?

Answer:

Least Common Multiple of 3648 and 3656 = 1667136

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 3656

3656 = 2 x 2 x 2 x 457

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

LCM = 1667136 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 457

Step 4: Therefore, the least common multiple of 3648 and 3656 is 1667136.