Least Common Multiple of 3647 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 3647 and 3655 the smallest integer that is 13329785 that is divisible by both numbers.

Least Common Multiple (LCM) of 3647 and 3655 is 13329785.

LCM(3647,3655) = 13329785

LCM of 3647 and 3655

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

LCM of:
and

Least Common Multiple of 3647 and 3655

LCM of 3647 and 3655 is 13329785

Least common multiple can be found by multiplying the highest exponent prime factors of 3647 and 3655. First we will calculate the prime factors of 3647 and 3655.

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 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 3647 and 3655.

LCM(3647,3655) = 51×71×171×431×5211
LCM(3647,3655) = 13329785

Factors of 3647

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

1, 7, 521, 3647

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 3647 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 3647 and 3655, than apply into the LCM equation.

GCF(3647,3655) = 1
LCM(3647,3655) = ( 3647 × 3655) / 1
LCM(3647,3655) = 13329785 / 1
LCM(3647,3655) = 13329785

Properties of LCM 3647 and 3655

(i) The LCM of 3655 and 3647 is associative

LCM of 3647 and 3655 = LCM of 3655 and 3647

Related Least Common Multiples of 3647

Related Least Common Multiples of 3655

Frequently Asked Questions on LCM of 3647 and 3655

1. What is the LCM of 3647 and 3655?

Answer: LCM of 3647 and 3655 is 13329785.

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 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 3647 and 3655?

Answer:

Least Common Multiple of 3647 and 3655 = 13329785

Step 1: Find the prime factorization of 3647

3647 = 7 x 521

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 = 13329785 = 5 x 7 x 17 x 43 x 521

Step 4: Therefore, the least common multiple of 3647 and 3655 is 13329785.