Least Common Multiple of 5355 and 5361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5355 and 5361 the smallest integer that is 9569385 that is divisible by both numbers.

Least Common Multiple (LCM) of 5355 and 5361 is 9569385.

LCM(5355,5361) = 9569385

LCM of 5355 and 5361

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

LCM of:
and

Least Common Multiple of 5355 and 5361

LCM of 5355 and 5361 is 9569385

Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5361. First we will calculate the prime factors of 5355 and 5361.

Prime Factorization of 5355


3 5355
3 1785
5 595
7 119
17 17
1

Prime factors of 5355 are 3, 5, 7,17. Prime factorization of 5355 in exponential form is:

5355 = 32×51×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5361.

LCM(5355,5361) = 32×51×71×171×17871
LCM(5355,5361) = 9569385

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355

Factors of 5361

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

1, 3, 1787, 5361

Least Common Multiple of 5355 and 5361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5355 and 5361, than apply into the LCM equation.

GCF(5355,5361) = 3
LCM(5355,5361) = ( 5355 × 5361) / 3
LCM(5355,5361) = 28708155 / 3
LCM(5355,5361) = 9569385

Properties of LCM 5355 and 5361

(i) The LCM of 5361 and 5355 is associative

LCM of 5355 and 5361 = LCM of 5361 and 5355

Related Least Common Multiples of 5355

Related Least Common Multiples of 5361

Frequently Asked Questions on LCM of 5355 and 5361

1. What is the LCM of 5355 and 5361?

Answer: LCM of 5355 and 5361 is 9569385.

2. What are the Factors of 5355?

Answer: Factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. There are 24 integers that are factors of 5355. The greatest factor of 5355 is 5355.

3. 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.

4. How to Find the LCM of 5355 and 5361?

Answer:

Least Common Multiple of 5355 and 5361 = 9569385

Step 1: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 5361

5361 = 3 x 1787

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

LCM = 9569385 = 3 x 3 x 5 x 7 x 17 x 1787

Step 4: Therefore, the least common multiple of 5355 and 5361 is 9569385.