Least Common Multiple of 5347 and 5353

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 5353 the smallest integer that is 28622491 that is divisible by both numbers.

Least Common Multiple (LCM) of 5347 and 5353 is 28622491.

LCM(5347,5353) = 28622491

LCM of 5347 and 5353

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

LCM of:
and

Least Common Multiple of 5347 and 5353

LCM of 5347 and 5353 is 28622491

Least common multiple can be found by multiplying the highest exponent prime factors of 5347 and 5353. First we will calculate the prime factors of 5347 and 5353.

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 5353


53 5353
101 101
1

Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:

5353 = 531×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5347 and 5353.

LCM(5347,5353) = 531×1011×53471
LCM(5347,5353) = 28622491

Factors of 5347

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

1, 5347

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1, 53, 101, 5353

Least Common Multiple of 5347 and 5353 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 5353, than apply into the LCM equation.

GCF(5347,5353) = 1
LCM(5347,5353) = ( 5347 × 5353) / 1
LCM(5347,5353) = 28622491 / 1
LCM(5347,5353) = 28622491

Properties of LCM 5347 and 5353

(i) The LCM of 5353 and 5347 is associative

LCM of 5347 and 5353 = LCM of 5353 and 5347

Related Least Common Multiples of 5347

Related Least Common Multiples of 5353

Frequently Asked Questions on LCM of 5347 and 5353

1. What is the LCM of 5347 and 5353?

Answer: LCM of 5347 and 5353 is 28622491.

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 5353?

Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.

4. How to Find the LCM of 5347 and 5353?

Answer:

Least Common Multiple of 5347 and 5353 = 28622491

Step 1: Find the prime factorization of 5347

5347 = 5347

Step 2: Find the prime factorization of 5353

5353 = 53 x 101

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

LCM = 28622491 = 53 x 101 x 5347

Step 4: Therefore, the least common multiple of 5347 and 5353 is 28622491.