Least Common Multiple of 5348 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 5348 and 5353 the smallest integer that is 28627844 that is divisible by both numbers.

Least Common Multiple (LCM) of 5348 and 5353 is 28627844.

LCM(5348,5353) = 28627844

LCM of 5348 and 5353

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

LCM of:
and

Least Common Multiple of 5348 and 5353

LCM of 5348 and 5353 is 28627844

Least common multiple can be found by multiplying the highest exponent prime factors of 5348 and 5353. First we will calculate the prime factors of 5348 and 5353.

Prime Factorization of 5348


2 5348
2 2674
7 1337
191 191
1

Prime factors of 5348 are 2, 7,191. Prime factorization of 5348 in exponential form is:

5348 = 22×71×1911

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 5348 and 5353.

LCM(5348,5353) = 22×71×531×1011×1911
LCM(5348,5353) = 28627844

Factors of 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348

Factors of 5353

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

1, 53, 101, 5353

Least Common Multiple of 5348 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 5348 and 5353, than apply into the LCM equation.

GCF(5348,5353) = 1
LCM(5348,5353) = ( 5348 × 5353) / 1
LCM(5348,5353) = 28627844 / 1
LCM(5348,5353) = 28627844

Properties of LCM 5348 and 5353

(i) The LCM of 5353 and 5348 is associative

LCM of 5348 and 5353 = LCM of 5353 and 5348

Related Least Common Multiples of 5348

Related Least Common Multiples of 5353

Frequently Asked Questions on LCM of 5348 and 5353

1. What is the LCM of 5348 and 5353?

Answer: LCM of 5348 and 5353 is 28627844.

2. What are the Factors of 5348?

Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.

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 5348 and 5353?

Answer:

Least Common Multiple of 5348 and 5353 = 28627844

Step 1: Find the prime factorization of 5348

5348 = 2 x 2 x 7 x 191

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 = 28627844 = 2 x 2 x 7 x 53 x 101 x 191

Step 4: Therefore, the least common multiple of 5348 and 5353 is 28627844.