Least Common Multiple of 5168 and 5172

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 5172 the smallest integer that is 6682224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5168 and 5172 is 6682224.

LCM(5168,5172) = 6682224

LCM of 5168 and 5172

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

LCM of:
and

Least Common Multiple of 5168 and 5172

LCM of 5168 and 5172 is 6682224

Least common multiple can be found by multiplying the highest exponent prime factors of 5168 and 5172. First we will calculate the prime factors of 5168 and 5172.

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 5172


2 5172
2 2586
3 1293
431 431
1

Prime factors of 5172 are 2, 3,431. Prime factorization of 5172 in exponential form is:

5172 = 22×31×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 5168 and 5172.

LCM(5168,5172) = 24×31×171×191×4311
LCM(5168,5172) = 6682224

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 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172

Least Common Multiple of 5168 and 5172 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 5172, than apply into the LCM equation.

GCF(5168,5172) = 4
LCM(5168,5172) = ( 5168 × 5172) / 4
LCM(5168,5172) = 26728896 / 4
LCM(5168,5172) = 6682224

Properties of LCM 5168 and 5172

(i) The LCM of 5172 and 5168 is associative

LCM of 5168 and 5172 = LCM of 5172 and 5168

Related Least Common Multiples of 5168

Related Least Common Multiples of 5172

Frequently Asked Questions on LCM of 5168 and 5172

1. What is the LCM of 5168 and 5172?

Answer: LCM of 5168 and 5172 is 6682224.

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 5172?

Answer: Factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172. There are 12 integers that are factors of 5172. The greatest factor of 5172 is 5172.

4. How to Find the LCM of 5168 and 5172?

Answer:

Least Common Multiple of 5168 and 5172 = 6682224

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 5172

5172 = 2 x 2 x 3 x 431

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

LCM = 6682224 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 431

Step 4: Therefore, the least common multiple of 5168 and 5172 is 6682224.