Least Common Multiple of 5651 and 5655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5651 and 5655 the smallest integer that is 31956405 that is divisible by both numbers.

Least Common Multiple (LCM) of 5651 and 5655 is 31956405.

LCM(5651,5655) = 31956405

LCM of 5651 and 5655

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

LCM of:
and

Least Common Multiple of 5651 and 5655

LCM of 5651 and 5655 is 31956405

Least common multiple can be found by multiplying the highest exponent prime factors of 5651 and 5655. First we will calculate the prime factors of 5651 and 5655.

Prime Factorization of 5651


5651 5651
1

Prime factors of 5651 are 5651. Prime factorization of 5651 in exponential form is:

5651 = 56511

Prime Factorization of 5655


3 5655
5 1885
13 377
29 29
1

Prime factors of 5655 are 3, 5, 13,29. Prime factorization of 5655 in exponential form is:

5655 = 31×51×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5651 and 5655.

LCM(5651,5655) = 31×51×131×291×56511
LCM(5651,5655) = 31956405

Factors of 5651

List of positive integer factors of 5651 that divides 5651 without a remainder.

1, 5651

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655

Least Common Multiple of 5651 and 5655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5651 and 5655, than apply into the LCM equation.

GCF(5651,5655) = 1
LCM(5651,5655) = ( 5651 × 5655) / 1
LCM(5651,5655) = 31956405 / 1
LCM(5651,5655) = 31956405

Properties of LCM 5651 and 5655

(i) The LCM of 5655 and 5651 is associative

LCM of 5651 and 5655 = LCM of 5655 and 5651

Related Least Common Multiples of 5651

Related Least Common Multiples of 5655

Frequently Asked Questions on LCM of 5651 and 5655

1. What is the LCM of 5651 and 5655?

Answer: LCM of 5651 and 5655 is 31956405.

2. What are the Factors of 5651?

Answer: Factors of 5651 are 1, 5651. There are 2 integers that are factors of 5651. The greatest factor of 5651 is 5651.

3. What are the Factors of 5655?

Answer: Factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655. There are 16 integers that are factors of 5655. The greatest factor of 5655 is 5655.

4. How to Find the LCM of 5651 and 5655?

Answer:

Least Common Multiple of 5651 and 5655 = 31956405

Step 1: Find the prime factorization of 5651

5651 = 5651

Step 2: Find the prime factorization of 5655

5655 = 3 x 5 x 13 x 29

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

LCM = 31956405 = 3 x 5 x 13 x 29 x 5651

Step 4: Therefore, the least common multiple of 5651 and 5655 is 31956405.