Least Common Multiple of 5347 and 5351

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 5351 the smallest integer that is 28611797 that is divisible by both numbers.

Least Common Multiple (LCM) of 5347 and 5351 is 28611797.

LCM(5347,5351) = 28611797

LCM of 5347 and 5351

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

LCM of:
and

Least Common Multiple of 5347 and 5351

LCM of 5347 and 5351 is 28611797

Least common multiple can be found by multiplying the highest exponent prime factors of 5347 and 5351. First we will calculate the prime factors of 5347 and 5351.

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 5351


5351 5351
1

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

5351 = 53511

Now multiplying the highest exponent prime factors to calculate the LCM of 5347 and 5351.

LCM(5347,5351) = 53471×53511
LCM(5347,5351) = 28611797

Factors of 5347

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

1, 5347

Factors of 5351

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

1, 5351

Least Common Multiple of 5347 and 5351 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 5351, than apply into the LCM equation.

GCF(5347,5351) = 1
LCM(5347,5351) = ( 5347 × 5351) / 1
LCM(5347,5351) = 28611797 / 1
LCM(5347,5351) = 28611797

Properties of LCM 5347 and 5351

(i) The LCM of 5351 and 5347 is associative

LCM of 5347 and 5351 = LCM of 5351 and 5347

Related Least Common Multiples of 5347

Related Least Common Multiples of 5351

Frequently Asked Questions on LCM of 5347 and 5351

1. What is the LCM of 5347 and 5351?

Answer: LCM of 5347 and 5351 is 28611797.

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 5351?

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

4. How to Find the LCM of 5347 and 5351?

Answer:

Least Common Multiple of 5347 and 5351 = 28611797

Step 1: Find the prime factorization of 5347

5347 = 5347

Step 2: Find the prime factorization of 5351

5351 = 5351

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

LCM = 28611797 = 5347 x 5351

Step 4: Therefore, the least common multiple of 5347 and 5351 is 28611797.