Least Common Multiple of 5358 and 5363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5358 and 5363 the smallest integer that is 28734954 that is divisible by both numbers.

Least Common Multiple (LCM) of 5358 and 5363 is 28734954.

LCM(5358,5363) = 28734954

LCM of 5358 and 5363

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

LCM of:
and

Least Common Multiple of 5358 and 5363

LCM of 5358 and 5363 is 28734954

Least common multiple can be found by multiplying the highest exponent prime factors of 5358 and 5363. First we will calculate the prime factors of 5358 and 5363.

Prime Factorization of 5358


2 5358
3 2679
19 893
47 47
1

Prime factors of 5358 are 2, 3, 19,47. Prime factorization of 5358 in exponential form is:

5358 = 21×31×191×471

Prime Factorization of 5363


31 5363
173 173
1

Prime factors of 5363 are 31,173. Prime factorization of 5363 in exponential form is:

5363 = 311×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5358 and 5363.

LCM(5358,5363) = 21×31×191×311×471×1731
LCM(5358,5363) = 28734954

Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358

Factors of 5363

List of positive integer factors of 5363 that divides 5363 without a remainder.

1, 31, 173, 5363

Least Common Multiple of 5358 and 5363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5358 and 5363, than apply into the LCM equation.

GCF(5358,5363) = 1
LCM(5358,5363) = ( 5358 × 5363) / 1
LCM(5358,5363) = 28734954 / 1
LCM(5358,5363) = 28734954

Properties of LCM 5358 and 5363

(i) The LCM of 5363 and 5358 is associative

LCM of 5358 and 5363 = LCM of 5363 and 5358

Related Least Common Multiples of 5358

Related Least Common Multiples of 5363

Frequently Asked Questions on LCM of 5358 and 5363

1. What is the LCM of 5358 and 5363?

Answer: LCM of 5358 and 5363 is 28734954.

2. What are the Factors of 5358?

Answer: Factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358. There are 16 integers that are factors of 5358. The greatest factor of 5358 is 5358.

3. What are the Factors of 5363?

Answer: Factors of 5363 are 1, 31, 173, 5363. There are 4 integers that are factors of 5363. The greatest factor of 5363 is 5363.

4. How to Find the LCM of 5358 and 5363?

Answer:

Least Common Multiple of 5358 and 5363 = 28734954

Step 1: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

Step 2: Find the prime factorization of 5363

5363 = 31 x 173

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

LCM = 28734954 = 2 x 3 x 19 x 31 x 47 x 173

Step 4: Therefore, the least common multiple of 5358 and 5363 is 28734954.