Least Common Multiple of 5365 and 5366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5365 and 5366 the smallest integer that is 28788590 that is divisible by both numbers.

Least Common Multiple (LCM) of 5365 and 5366 is 28788590.

LCM(5365,5366) = 28788590

LCM of 5365 and 5366

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

LCM of:
and

Least Common Multiple of 5365 and 5366

LCM of 5365 and 5366 is 28788590

Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5366. First we will calculate the prime factors of 5365 and 5366.

Prime Factorization of 5365


5 5365
29 1073
37 37
1

Prime factors of 5365 are 5, 29,37. Prime factorization of 5365 in exponential form is:

5365 = 51×291×371

Prime Factorization of 5366


2 5366
2683 2683
1

Prime factors of 5366 are 2,2683. Prime factorization of 5366 in exponential form is:

5366 = 21×26831

Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5366.

LCM(5365,5366) = 21×51×291×371×26831
LCM(5365,5366) = 28788590

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1, 5, 29, 37, 145, 185, 1073, 5365

Factors of 5366

List of positive integer factors of 5366 that divides 5366 without a remainder.

1, 2, 2683, 5366

Least Common Multiple of 5365 and 5366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5365 and 5366, than apply into the LCM equation.

GCF(5365,5366) = 1
LCM(5365,5366) = ( 5365 × 5366) / 1
LCM(5365,5366) = 28788590 / 1
LCM(5365,5366) = 28788590

Properties of LCM 5365 and 5366

(i) The LCM of 5366 and 5365 is associative

LCM of 5365 and 5366 = LCM of 5366 and 5365

Related Least Common Multiples of 5365

Related Least Common Multiples of 5366

Frequently Asked Questions on LCM of 5365 and 5366

1. What is the LCM of 5365 and 5366?

Answer: LCM of 5365 and 5366 is 28788590.

2. What are the Factors of 5365?

Answer: Factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365. There are 8 integers that are factors of 5365. The greatest factor of 5365 is 5365.

3. What are the Factors of 5366?

Answer: Factors of 5366 are 1, 2, 2683, 5366. There are 4 integers that are factors of 5366. The greatest factor of 5366 is 5366.

4. How to Find the LCM of 5365 and 5366?

Answer:

Least Common Multiple of 5365 and 5366 = 28788590

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5366

5366 = 2 x 2683

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

LCM = 28788590 = 2 x 5 x 29 x 37 x 2683

Step 4: Therefore, the least common multiple of 5365 and 5366 is 28788590.