Least Common Multiple of 5361 and 5365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5361 and 5365 the smallest integer that is 28761765 that is divisible by both numbers.

Least Common Multiple (LCM) of 5361 and 5365 is 28761765.

LCM(5361,5365) = 28761765

LCM of 5361 and 5365

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

LCM of:
and

Least Common Multiple of 5361 and 5365

LCM of 5361 and 5365 is 28761765

Least common multiple can be found by multiplying the highest exponent prime factors of 5361 and 5365. First we will calculate the prime factors of 5361 and 5365.

Prime Factorization of 5361


3 5361
1787 1787
1

Prime factors of 5361 are 3,1787. Prime factorization of 5361 in exponential form is:

5361 = 31×17871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5361 and 5365.

LCM(5361,5365) = 31×51×291×371×17871
LCM(5361,5365) = 28761765

Factors of 5361

List of positive integer factors of 5361 that divides 5361 without a remainder.

1, 3, 1787, 5361

Factors of 5365

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

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

Least Common Multiple of 5361 and 5365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5361 and 5365, than apply into the LCM equation.

GCF(5361,5365) = 1
LCM(5361,5365) = ( 5361 × 5365) / 1
LCM(5361,5365) = 28761765 / 1
LCM(5361,5365) = 28761765

Properties of LCM 5361 and 5365

(i) The LCM of 5365 and 5361 is associative

LCM of 5361 and 5365 = LCM of 5365 and 5361

Related Least Common Multiples of 5361

Related Least Common Multiples of 5365

Frequently Asked Questions on LCM of 5361 and 5365

1. What is the LCM of 5361 and 5365?

Answer: LCM of 5361 and 5365 is 28761765.

2. What are the Factors of 5361?

Answer: Factors of 5361 are 1, 3, 1787, 5361. There are 4 integers that are factors of 5361. The greatest factor of 5361 is 5361.

3. 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.

4. How to Find the LCM of 5361 and 5365?

Answer:

Least Common Multiple of 5361 and 5365 = 28761765

Step 1: Find the prime factorization of 5361

5361 = 3 x 1787

Step 2: Find the prime factorization of 5365

5365 = 5 x 29 x 37

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

LCM = 28761765 = 3 x 5 x 29 x 37 x 1787

Step 4: Therefore, the least common multiple of 5361 and 5365 is 28761765.