Least Common Multiple of 3651 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 3651 and 3655 the smallest integer that is 13344405 that is divisible by both numbers.

Least Common Multiple (LCM) of 3651 and 3655 is 13344405.

LCM(3651,3655) = 13344405

LCM of 3651 and 3655

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

LCM of:
and

Least Common Multiple of 3651 and 3655

LCM of 3651 and 3655 is 13344405

Least common multiple can be found by multiplying the highest exponent prime factors of 3651 and 3655. First we will calculate the prime factors of 3651 and 3655.

Prime Factorization of 3651


3 3651
1217 1217
1

Prime factors of 3651 are 3,1217. Prime factorization of 3651 in exponential form is:

3651 = 31×12171

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 3651 and 3655.

LCM(3651,3655) = 31×51×171×431×12171
LCM(3651,3655) = 13344405

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1, 3, 1217, 3651

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 3651 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 3651 and 3655, than apply into the LCM equation.

GCF(3651,3655) = 1
LCM(3651,3655) = ( 3651 × 3655) / 1
LCM(3651,3655) = 13344405 / 1
LCM(3651,3655) = 13344405

Properties of LCM 3651 and 3655

(i) The LCM of 3655 and 3651 is associative

LCM of 3651 and 3655 = LCM of 3655 and 3651

Related Least Common Multiples of 3651

Related Least Common Multiples of 3655

Frequently Asked Questions on LCM of 3651 and 3655

1. What is the LCM of 3651 and 3655?

Answer: LCM of 3651 and 3655 is 13344405.

2. What are the Factors of 3651?

Answer: Factors of 3651 are 1, 3, 1217, 3651. There are 4 integers that are factors of 3651. The greatest factor of 3651 is 3651.

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 3651 and 3655?

Answer:

Least Common Multiple of 3651 and 3655 = 13344405

Step 1: Find the prime factorization of 3651

3651 = 3 x 1217

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 = 13344405 = 3 x 5 x 17 x 43 x 1217

Step 4: Therefore, the least common multiple of 3651 and 3655 is 13344405.