Least Common Multiple of 5347 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 5347 and 5355 the smallest integer that is 28633185 that is divisible by both numbers.

Least Common Multiple (LCM) of 5347 and 5355 is 28633185.

LCM(5347,5355) = 28633185

LCM of 5347 and 5355

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

LCM of:
and

Least Common Multiple of 5347 and 5355

LCM of 5347 and 5355 is 28633185

Least common multiple can be found by multiplying the highest exponent prime factors of 5347 and 5355. First we will calculate the prime factors of 5347 and 5355.

Prime Factorization of 5347


5347 5347
1

Prime factors of 5347 are 5347. Prime factorization of 5347 in exponential form is:

5347 = 53471

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 5347 and 5355.

LCM(5347,5355) = 32×51×71×171×53471
LCM(5347,5355) = 28633185

Factors of 5347

List of positive integer factors of 5347 that divides 5347 without a remainder.

1, 5347

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 5347 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 5347 and 5355, than apply into the LCM equation.

GCF(5347,5355) = 1
LCM(5347,5355) = ( 5347 × 5355) / 1
LCM(5347,5355) = 28633185 / 1
LCM(5347,5355) = 28633185

Properties of LCM 5347 and 5355

(i) The LCM of 5355 and 5347 is associative

LCM of 5347 and 5355 = LCM of 5355 and 5347

Related Least Common Multiples of 5347

Related Least Common Multiples of 5355

Frequently Asked Questions on LCM of 5347 and 5355

1. What is the LCM of 5347 and 5355?

Answer: LCM of 5347 and 5355 is 28633185.

2. What are the Factors of 5347?

Answer: Factors of 5347 are 1, 5347. There are 2 integers that are factors of 5347. The greatest factor of 5347 is 5347.

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 5347 and 5355?

Answer:

Least Common Multiple of 5347 and 5355 = 28633185

Step 1: Find the prime factorization of 5347

5347 = 5347

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 = 28633185 = 3 x 3 x 5 x 7 x 17 x 5347

Step 4: Therefore, the least common multiple of 5347 and 5355 is 28633185.