Least Common Multiple of 5348 and 5356

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 5356 the smallest integer that is 7160972 that is divisible by both numbers.

Least Common Multiple (LCM) of 5348 and 5356 is 7160972.

LCM(5348,5356) = 7160972

LCM of 5348 and 5356

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

LCM of:
and

Least Common Multiple of 5348 and 5356

LCM of 5348 and 5356 is 7160972

Least common multiple can be found by multiplying the highest exponent prime factors of 5348 and 5356. First we will calculate the prime factors of 5348 and 5356.

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 5356


2 5356
2 2678
13 1339
103 103
1

Prime factors of 5356 are 2, 13,103. Prime factorization of 5356 in exponential form is:

5356 = 22×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5348 and 5356.

LCM(5348,5356) = 22×71×131×1031×1911
LCM(5348,5356) = 7160972

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 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356

Least Common Multiple of 5348 and 5356 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 5356, than apply into the LCM equation.

GCF(5348,5356) = 4
LCM(5348,5356) = ( 5348 × 5356) / 4
LCM(5348,5356) = 28643888 / 4
LCM(5348,5356) = 7160972

Properties of LCM 5348 and 5356

(i) The LCM of 5356 and 5348 is associative

LCM of 5348 and 5356 = LCM of 5356 and 5348

Related Least Common Multiples of 5348

Related Least Common Multiples of 5356

Frequently Asked Questions on LCM of 5348 and 5356

1. What is the LCM of 5348 and 5356?

Answer: LCM of 5348 and 5356 is 7160972.

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 5356?

Answer: Factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356. There are 12 integers that are factors of 5356. The greatest factor of 5356 is 5356.

4. How to Find the LCM of 5348 and 5356?

Answer:

Least Common Multiple of 5348 and 5356 = 7160972

Step 1: Find the prime factorization of 5348

5348 = 2 x 2 x 7 x 191

Step 2: Find the prime factorization of 5356

5356 = 2 x 2 x 13 x 103

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

LCM = 7160972 = 2 x 2 x 7 x 13 x 103 x 191

Step 4: Therefore, the least common multiple of 5348 and 5356 is 7160972.