Least Common Multiple of 5636 and 5641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5636 and 5641 the smallest integer that is 31792676 that is divisible by both numbers.

Least Common Multiple (LCM) of 5636 and 5641 is 31792676.

LCM(5636,5641) = 31792676

LCM of 5636 and 5641

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

LCM of:
and

Least Common Multiple of 5636 and 5641

LCM of 5636 and 5641 is 31792676

Least common multiple can be found by multiplying the highest exponent prime factors of 5636 and 5641. First we will calculate the prime factors of 5636 and 5641.

Prime Factorization of 5636


2 5636
2 2818
1409 1409
1

Prime factors of 5636 are 2,1409. Prime factorization of 5636 in exponential form is:

5636 = 22×14091

Prime Factorization of 5641


5641 5641
1

Prime factors of 5641 are 5641. Prime factorization of 5641 in exponential form is:

5641 = 56411

Now multiplying the highest exponent prime factors to calculate the LCM of 5636 and 5641.

LCM(5636,5641) = 22×14091×56411
LCM(5636,5641) = 31792676

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1, 2, 4, 1409, 2818, 5636

Factors of 5641

List of positive integer factors of 5641 that divides 5641 without a remainder.

1, 5641

Least Common Multiple of 5636 and 5641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5636 and 5641, than apply into the LCM equation.

GCF(5636,5641) = 1
LCM(5636,5641) = ( 5636 × 5641) / 1
LCM(5636,5641) = 31792676 / 1
LCM(5636,5641) = 31792676

Properties of LCM 5636 and 5641

(i) The LCM of 5641 and 5636 is associative

LCM of 5636 and 5641 = LCM of 5641 and 5636

Related Least Common Multiples of 5636

Related Least Common Multiples of 5641

Frequently Asked Questions on LCM of 5636 and 5641

1. What is the LCM of 5636 and 5641?

Answer: LCM of 5636 and 5641 is 31792676.

2. What are the Factors of 5636?

Answer: Factors of 5636 are 1, 2, 4, 1409, 2818, 5636. There are 6 integers that are factors of 5636. The greatest factor of 5636 is 5636.

3. What are the Factors of 5641?

Answer: Factors of 5641 are 1, 5641. There are 2 integers that are factors of 5641. The greatest factor of 5641 is 5641.

4. How to Find the LCM of 5636 and 5641?

Answer:

Least Common Multiple of 5636 and 5641 = 31792676

Step 1: Find the prime factorization of 5636

5636 = 2 x 2 x 1409

Step 2: Find the prime factorization of 5641

5641 = 5641

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

LCM = 31792676 = 2 x 2 x 1409 x 5641

Step 4: Therefore, the least common multiple of 5636 and 5641 is 31792676.