Least Common Multiple of 5349 and 5357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5349 and 5357 the smallest integer that is 28654593 that is divisible by both numbers.

Least Common Multiple (LCM) of 5349 and 5357 is 28654593.

LCM(5349,5357) = 28654593

LCM of 5349 and 5357

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

LCM of:
and

Least Common Multiple of 5349 and 5357

LCM of 5349 and 5357 is 28654593

Least common multiple can be found by multiplying the highest exponent prime factors of 5349 and 5357. First we will calculate the prime factors of 5349 and 5357.

Prime Factorization of 5349


3 5349
1783 1783
1

Prime factors of 5349 are 3,1783. Prime factorization of 5349 in exponential form is:

5349 = 31×17831

Prime Factorization of 5357


11 5357
487 487
1

Prime factors of 5357 are 11,487. Prime factorization of 5357 in exponential form is:

5357 = 111×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 5349 and 5357.

LCM(5349,5357) = 31×111×4871×17831
LCM(5349,5357) = 28654593

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1, 3, 1783, 5349

Factors of 5357

List of positive integer factors of 5357 that divides 5357 without a remainder.

1, 11, 487, 5357

Least Common Multiple of 5349 and 5357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5349 and 5357, than apply into the LCM equation.

GCF(5349,5357) = 1
LCM(5349,5357) = ( 5349 × 5357) / 1
LCM(5349,5357) = 28654593 / 1
LCM(5349,5357) = 28654593

Properties of LCM 5349 and 5357

(i) The LCM of 5357 and 5349 is associative

LCM of 5349 and 5357 = LCM of 5357 and 5349

Related Least Common Multiples of 5349

Related Least Common Multiples of 5357

Frequently Asked Questions on LCM of 5349 and 5357

1. What is the LCM of 5349 and 5357?

Answer: LCM of 5349 and 5357 is 28654593.

2. What are the Factors of 5349?

Answer: Factors of 5349 are 1, 3, 1783, 5349. There are 4 integers that are factors of 5349. The greatest factor of 5349 is 5349.

3. What are the Factors of 5357?

Answer: Factors of 5357 are 1, 11, 487, 5357. There are 4 integers that are factors of 5357. The greatest factor of 5357 is 5357.

4. How to Find the LCM of 5349 and 5357?

Answer:

Least Common Multiple of 5349 and 5357 = 28654593

Step 1: Find the prime factorization of 5349

5349 = 3 x 1783

Step 2: Find the prime factorization of 5357

5357 = 11 x 487

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

LCM = 28654593 = 3 x 11 x 487 x 1783

Step 4: Therefore, the least common multiple of 5349 and 5357 is 28654593.