Least Common Multiple of 5365 and 5367

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 5367 the smallest integer that is 28793955 that is divisible by both numbers.

Least Common Multiple (LCM) of 5365 and 5367 is 28793955.

LCM(5365,5367) = 28793955

LCM of 5365 and 5367

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

LCM of:
and

Least Common Multiple of 5365 and 5367

LCM of 5365 and 5367 is 28793955

Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5367. First we will calculate the prime factors of 5365 and 5367.

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 5367


3 5367
1789 1789
1

Prime factors of 5367 are 3,1789. Prime factorization of 5367 in exponential form is:

5367 = 31×17891

Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5367.

LCM(5365,5367) = 31×51×291×371×17891
LCM(5365,5367) = 28793955

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 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1, 3, 1789, 5367

Least Common Multiple of 5365 and 5367 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 5367, than apply into the LCM equation.

GCF(5365,5367) = 1
LCM(5365,5367) = ( 5365 × 5367) / 1
LCM(5365,5367) = 28793955 / 1
LCM(5365,5367) = 28793955

Properties of LCM 5365 and 5367

(i) The LCM of 5367 and 5365 is associative

LCM of 5365 and 5367 = LCM of 5367 and 5365

Related Least Common Multiples of 5365

Related Least Common Multiples of 5367

Frequently Asked Questions on LCM of 5365 and 5367

1. What is the LCM of 5365 and 5367?

Answer: LCM of 5365 and 5367 is 28793955.

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 5367?

Answer: Factors of 5367 are 1, 3, 1789, 5367. There are 4 integers that are factors of 5367. The greatest factor of 5367 is 5367.

4. How to Find the LCM of 5365 and 5367?

Answer:

Least Common Multiple of 5365 and 5367 = 28793955

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5367

5367 = 3 x 1789

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

LCM = 28793955 = 3 x 5 x 29 x 37 x 1789

Step 4: Therefore, the least common multiple of 5365 and 5367 is 28793955.