Least Common Multiple of 5361 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 5361 and 5367 the smallest integer that is 9590829 that is divisible by both numbers.

Least Common Multiple (LCM) of 5361 and 5367 is 9590829.

LCM(5361,5367) = 9590829

LCM of 5361 and 5367

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

LCM of:
and

Least Common Multiple of 5361 and 5367

LCM of 5361 and 5367 is 9590829

Least common multiple can be found by multiplying the highest exponent prime factors of 5361 and 5367. First we will calculate the prime factors of 5361 and 5367.

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 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 5361 and 5367.

LCM(5361,5367) = 31×17871×17891
LCM(5361,5367) = 9590829

Factors of 5361

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

1, 3, 1787, 5361

Factors of 5367

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

1, 3, 1789, 5367

Least Common Multiple of 5361 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 5361 and 5367, than apply into the LCM equation.

GCF(5361,5367) = 3
LCM(5361,5367) = ( 5361 × 5367) / 3
LCM(5361,5367) = 28772487 / 3
LCM(5361,5367) = 9590829

Properties of LCM 5361 and 5367

(i) The LCM of 5367 and 5361 is associative

LCM of 5361 and 5367 = LCM of 5367 and 5361

Related Least Common Multiples of 5361

Related Least Common Multiples of 5367

Frequently Asked Questions on LCM of 5361 and 5367

1. What is the LCM of 5361 and 5367?

Answer: LCM of 5361 and 5367 is 9590829.

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 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 5361 and 5367?

Answer:

Least Common Multiple of 5361 and 5367 = 9590829

Step 1: Find the prime factorization of 5361

5361 = 3 x 1787

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 = 9590829 = 3 x 1787 x 1789

Step 4: Therefore, the least common multiple of 5361 and 5367 is 9590829.