Least Common Multiple of 5349 and 5355

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 5355 the smallest integer that is 9547965 that is divisible by both numbers.

Least Common Multiple (LCM) of 5349 and 5355 is 9547965.

LCM(5349,5355) = 9547965

LCM of 5349 and 5355

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

LCM of:
and

Least Common Multiple of 5349 and 5355

LCM of 5349 and 5355 is 9547965

Least common multiple can be found by multiplying the highest exponent prime factors of 5349 and 5355. First we will calculate the prime factors of 5349 and 5355.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 5349 and 5355.

LCM(5349,5355) = 32×51×71×171×17831
LCM(5349,5355) = 9547965

Factors of 5349

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

1, 3, 1783, 5349

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

Least Common Multiple of 5349 and 5355 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 5355, than apply into the LCM equation.

GCF(5349,5355) = 3
LCM(5349,5355) = ( 5349 × 5355) / 3
LCM(5349,5355) = 28643895 / 3
LCM(5349,5355) = 9547965

Properties of LCM 5349 and 5355

(i) The LCM of 5355 and 5349 is associative

LCM of 5349 and 5355 = LCM of 5355 and 5349

Related Least Common Multiples of 5349

Related Least Common Multiples of 5355

Frequently Asked Questions on LCM of 5349 and 5355

1. What is the LCM of 5349 and 5355?

Answer: LCM of 5349 and 5355 is 9547965.

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 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.

4. How to Find the LCM of 5349 and 5355?

Answer:

Least Common Multiple of 5349 and 5355 = 9547965

Step 1: Find the prime factorization of 5349

5349 = 3 x 1783

Step 2: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 x 17

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

LCM = 9547965 = 3 x 3 x 5 x 7 x 17 x 1783

Step 4: Therefore, the least common multiple of 5349 and 5355 is 9547965.