Least Common Multiple of 5349 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 5349 and 5356 the smallest integer that is 28649244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5349 and 5356 is 28649244.

LCM(5349,5356) = 28649244

LCM of 5349 and 5356

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

LCM of:
and

Least Common Multiple of 5349 and 5356

LCM of 5349 and 5356 is 28649244

Least common multiple can be found by multiplying the highest exponent prime factors of 5349 and 5356. First we will calculate the prime factors of 5349 and 5356.

Prime Factorization of 5349


3 5349
1783 1783
1

Prime factors of 5349 are 3,1783. Prime factorization of 5349 in exponential form is:

5349 = 31×17831

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 5349 and 5356.

LCM(5349,5356) = 22×31×131×1031×17831
LCM(5349,5356) = 28649244

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1, 3, 1783, 5349

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 5349 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 5349 and 5356, than apply into the LCM equation.

GCF(5349,5356) = 1
LCM(5349,5356) = ( 5349 × 5356) / 1
LCM(5349,5356) = 28649244 / 1
LCM(5349,5356) = 28649244

Properties of LCM 5349 and 5356

(i) The LCM of 5356 and 5349 is associative

LCM of 5349 and 5356 = LCM of 5356 and 5349

Related Least Common Multiples of 5349

Related Least Common Multiples of 5356

Frequently Asked Questions on LCM of 5349 and 5356

1. What is the LCM of 5349 and 5356?

Answer: LCM of 5349 and 5356 is 28649244.

2. What are the Factors of 5349?

Answer: Factors of 5349 are 1, 3, 1783, 5349. There are 4 integers that are factors of 5349. The greatest factor of 5349 is 5349.

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 5349 and 5356?

Answer:

Least Common Multiple of 5349 and 5356 = 28649244

Step 1: Find the prime factorization of 5349

5349 = 3 x 1783

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 = 28649244 = 2 x 2 x 3 x 13 x 103 x 1783

Step 4: Therefore, the least common multiple of 5349 and 5356 is 28649244.