Least Common Multiple of 5163 and 5168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5163 and 5168 the smallest integer that is 26682384 that is divisible by both numbers.

Least Common Multiple (LCM) of 5163 and 5168 is 26682384.

LCM(5163,5168) = 26682384

LCM of 5163 and 5168

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

LCM of:
and

Least Common Multiple of 5163 and 5168

LCM of 5163 and 5168 is 26682384

Least common multiple can be found by multiplying the highest exponent prime factors of 5163 and 5168. First we will calculate the prime factors of 5163 and 5168.

Prime Factorization of 5163


3 5163
1721 1721
1

Prime factors of 5163 are 3,1721. Prime factorization of 5163 in exponential form is:

5163 = 31×17211

Prime Factorization of 5168


2 5168
2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 5168 are 2, 17,19. Prime factorization of 5168 in exponential form is:

5168 = 24×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5163 and 5168.

LCM(5163,5168) = 24×31×171×191×17211
LCM(5163,5168) = 26682384

Factors of 5163

List of positive integer factors of 5163 that divides 5163 without a remainder.

1, 3, 1721, 5163

Factors of 5168

List of positive integer factors of 5168 that divides 5168 without a remainder.

1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168

Least Common Multiple of 5163 and 5168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5163 and 5168, than apply into the LCM equation.

GCF(5163,5168) = 1
LCM(5163,5168) = ( 5163 × 5168) / 1
LCM(5163,5168) = 26682384 / 1
LCM(5163,5168) = 26682384

Properties of LCM 5163 and 5168

(i) The LCM of 5168 and 5163 is associative

LCM of 5163 and 5168 = LCM of 5168 and 5163

Related Least Common Multiples of 5163

Related Least Common Multiples of 5168

Frequently Asked Questions on LCM of 5163 and 5168

1. What is the LCM of 5163 and 5168?

Answer: LCM of 5163 and 5168 is 26682384.

2. What are the Factors of 5163?

Answer: Factors of 5163 are 1, 3, 1721, 5163. There are 4 integers that are factors of 5163. The greatest factor of 5163 is 5163.

3. What are the Factors of 5168?

Answer: Factors of 5168 are 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168. There are 20 integers that are factors of 5168. The greatest factor of 5168 is 5168.

4. How to Find the LCM of 5163 and 5168?

Answer:

Least Common Multiple of 5163 and 5168 = 26682384

Step 1: Find the prime factorization of 5163

5163 = 3 x 1721

Step 2: Find the prime factorization of 5168

5168 = 2 x 2 x 2 x 2 x 17 x 19

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

LCM = 26682384 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 1721

Step 4: Therefore, the least common multiple of 5163 and 5168 is 26682384.