Least Common Multiple of 3647 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 3647 and 3648 the smallest integer that is 13304256 that is divisible by both numbers.

Least Common Multiple (LCM) of 3647 and 3648 is 13304256.

LCM(3647,3648) = 13304256

LCM of 3647 and 3648

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

LCM of:
and

Least Common Multiple of 3647 and 3648

LCM of 3647 and 3648 is 13304256

Least common multiple can be found by multiplying the highest exponent prime factors of 3647 and 3648. First we will calculate the prime factors of 3647 and 3648.

Prime Factorization of 3647


7 3647
521 521
1

Prime factors of 3647 are 7,521. Prime factorization of 3647 in exponential form is:

3647 = 71×5211

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 3647 and 3648.

LCM(3647,3648) = 26×31×71×191×5211
LCM(3647,3648) = 13304256

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1, 7, 521, 3647

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 3647 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 3647 and 3648, than apply into the LCM equation.

GCF(3647,3648) = 1
LCM(3647,3648) = ( 3647 × 3648) / 1
LCM(3647,3648) = 13304256 / 1
LCM(3647,3648) = 13304256

Properties of LCM 3647 and 3648

(i) The LCM of 3648 and 3647 is associative

LCM of 3647 and 3648 = LCM of 3648 and 3647

Related Least Common Multiples of 3647

Related Least Common Multiples of 3648

Frequently Asked Questions on LCM of 3647 and 3648

1. What is the LCM of 3647 and 3648?

Answer: LCM of 3647 and 3648 is 13304256.

2. What are the Factors of 3647?

Answer: Factors of 3647 are 1, 7, 521, 3647. There are 4 integers that are factors of 3647. The greatest factor of 3647 is 3647.

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 3647 and 3648?

Answer:

Least Common Multiple of 3647 and 3648 = 13304256

Step 1: Find the prime factorization of 3647

3647 = 7 x 521

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 = 13304256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 521

Step 4: Therefore, the least common multiple of 3647 and 3648 is 13304256.