Least Common Multiple of 5351 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 5351 and 5355 the smallest integer that is 28654605 that is divisible by both numbers.

Least Common Multiple (LCM) of 5351 and 5355 is 28654605.

LCM(5351,5355) = 28654605

LCM of 5351 and 5355

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

LCM of:
and

Least Common Multiple of 5351 and 5355

LCM of 5351 and 5355 is 28654605

Least common multiple can be found by multiplying the highest exponent prime factors of 5351 and 5355. First we will calculate the prime factors of 5351 and 5355.

Prime Factorization of 5351


5351 5351
1

Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:

5351 = 53511

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 5351 and 5355.

LCM(5351,5355) = 32×51×71×171×53511
LCM(5351,5355) = 28654605

Factors of 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1, 5351

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 5351 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 5351 and 5355, than apply into the LCM equation.

GCF(5351,5355) = 1
LCM(5351,5355) = ( 5351 × 5355) / 1
LCM(5351,5355) = 28654605 / 1
LCM(5351,5355) = 28654605

Properties of LCM 5351 and 5355

(i) The LCM of 5355 and 5351 is associative

LCM of 5351 and 5355 = LCM of 5355 and 5351

Related Least Common Multiples of 5351

Related Least Common Multiples of 5355

Frequently Asked Questions on LCM of 5351 and 5355

1. What is the LCM of 5351 and 5355?

Answer: LCM of 5351 and 5355 is 28654605.

2. What are the Factors of 5351?

Answer: Factors of 5351 are 1, 5351. There are 2 integers that are factors of 5351. The greatest factor of 5351 is 5351.

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 5351 and 5355?

Answer:

Least Common Multiple of 5351 and 5355 = 28654605

Step 1: Find the prime factorization of 5351

5351 = 5351

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 = 28654605 = 3 x 3 x 5 x 7 x 17 x 5351

Step 4: Therefore, the least common multiple of 5351 and 5355 is 28654605.