Least Common Multiple of 5343 and 5347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5343 and 5347 the smallest integer that is 28569021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5343 and 5347 is 28569021.

LCM(5343,5347) = 28569021

LCM of 5343 and 5347

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

LCM of:
and

Least Common Multiple of 5343 and 5347

LCM of 5343 and 5347 is 28569021

Least common multiple can be found by multiplying the highest exponent prime factors of 5343 and 5347. First we will calculate the prime factors of 5343 and 5347.

Prime Factorization of 5343


3 5343
13 1781
137 137
1

Prime factors of 5343 are 3, 13,137. Prime factorization of 5343 in exponential form is:

5343 = 31×131×1371

Prime Factorization of 5347


5347 5347
1

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

5347 = 53471

Now multiplying the highest exponent prime factors to calculate the LCM of 5343 and 5347.

LCM(5343,5347) = 31×131×1371×53471
LCM(5343,5347) = 28569021

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1, 3, 13, 39, 137, 411, 1781, 5343

Factors of 5347

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

1, 5347

Least Common Multiple of 5343 and 5347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5343 and 5347, than apply into the LCM equation.

GCF(5343,5347) = 1
LCM(5343,5347) = ( 5343 × 5347) / 1
LCM(5343,5347) = 28569021 / 1
LCM(5343,5347) = 28569021

Properties of LCM 5343 and 5347

(i) The LCM of 5347 and 5343 is associative

LCM of 5343 and 5347 = LCM of 5347 and 5343

Related Least Common Multiples of 5343

Related Least Common Multiples of 5347

Frequently Asked Questions on LCM of 5343 and 5347

1. What is the LCM of 5343 and 5347?

Answer: LCM of 5343 and 5347 is 28569021.

2. What are the Factors of 5343?

Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.

3. 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.

4. How to Find the LCM of 5343 and 5347?

Answer:

Least Common Multiple of 5343 and 5347 = 28569021

Step 1: Find the prime factorization of 5343

5343 = 3 x 13 x 137

Step 2: Find the prime factorization of 5347

5347 = 5347

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

LCM = 28569021 = 3 x 13 x 137 x 5347

Step 4: Therefore, the least common multiple of 5343 and 5347 is 28569021.