Least Common Multiple of 5353 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 5353 and 5361 the smallest integer that is 28697433 that is divisible by both numbers.

Least Common Multiple (LCM) of 5353 and 5361 is 28697433.

LCM(5353,5361) = 28697433

LCM of 5353 and 5361

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

LCM of:
and

Least Common Multiple of 5353 and 5361

LCM of 5353 and 5361 is 28697433

Least common multiple can be found by multiplying the highest exponent prime factors of 5353 and 5361. First we will calculate the prime factors of 5353 and 5361.

Prime Factorization of 5353


53 5353
101 101
1

Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:

5353 = 531×1011

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 5353 and 5361.

LCM(5353,5361) = 31×531×1011×17871
LCM(5353,5361) = 28697433

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1, 53, 101, 5353

Factors of 5361

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

1, 3, 1787, 5361

Least Common Multiple of 5353 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 5353 and 5361, than apply into the LCM equation.

GCF(5353,5361) = 1
LCM(5353,5361) = ( 5353 × 5361) / 1
LCM(5353,5361) = 28697433 / 1
LCM(5353,5361) = 28697433

Properties of LCM 5353 and 5361

(i) The LCM of 5361 and 5353 is associative

LCM of 5353 and 5361 = LCM of 5361 and 5353

Related Least Common Multiples of 5353

Related Least Common Multiples of 5361

Frequently Asked Questions on LCM of 5353 and 5361

1. What is the LCM of 5353 and 5361?

Answer: LCM of 5353 and 5361 is 28697433.

2. What are the Factors of 5353?

Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.

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 5353 and 5361?

Answer:

Least Common Multiple of 5353 and 5361 = 28697433

Step 1: Find the prime factorization of 5353

5353 = 53 x 101

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 = 28697433 = 3 x 53 x 101 x 1787

Step 4: Therefore, the least common multiple of 5353 and 5361 is 28697433.