Least Common Multiple of 5168 and 5175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5168 and 5175 the smallest integer that is 26744400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5168 and 5175 is 26744400.

LCM(5168,5175) = 26744400

LCM of 5168 and 5175

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

LCM of:
and

Least Common Multiple of 5168 and 5175

LCM of 5168 and 5175 is 26744400

Least common multiple can be found by multiplying the highest exponent prime factors of 5168 and 5175. First we will calculate the prime factors of 5168 and 5175.

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

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5168 and 5175.

LCM(5168,5175) = 24×32×52×171×191×231
LCM(5168,5175) = 26744400

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

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175

Least Common Multiple of 5168 and 5175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5168 and 5175, than apply into the LCM equation.

GCF(5168,5175) = 1
LCM(5168,5175) = ( 5168 × 5175) / 1
LCM(5168,5175) = 26744400 / 1
LCM(5168,5175) = 26744400

Properties of LCM 5168 and 5175

(i) The LCM of 5175 and 5168 is associative

LCM of 5168 and 5175 = LCM of 5175 and 5168

Related Least Common Multiples of 5168

Related Least Common Multiples of 5175

Frequently Asked Questions on LCM of 5168 and 5175

1. What is the LCM of 5168 and 5175?

Answer: LCM of 5168 and 5175 is 26744400.

2. 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.

3. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

4. How to Find the LCM of 5168 and 5175?

Answer:

Least Common Multiple of 5168 and 5175 = 26744400

Step 1: Find the prime factorization of 5168

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

Step 2: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

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

LCM = 26744400 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 5168 and 5175 is 26744400.