Least Common Multiple of 5168 and 5174

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 5174 the smallest integer that is 13369616 that is divisible by both numbers.

Least Common Multiple (LCM) of 5168 and 5174 is 13369616.

LCM(5168,5174) = 13369616

LCM of 5168 and 5174

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

LCM of:
and

Least Common Multiple of 5168 and 5174

LCM of 5168 and 5174 is 13369616

Least common multiple can be found by multiplying the highest exponent prime factors of 5168 and 5174. First we will calculate the prime factors of 5168 and 5174.

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 5174


2 5174
13 2587
199 199
1

Prime factors of 5174 are 2, 13,199. Prime factorization of 5174 in exponential form is:

5174 = 21×131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5168 and 5174.

LCM(5168,5174) = 24×131×171×191×1991
LCM(5168,5174) = 13369616

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 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1, 2, 13, 26, 199, 398, 2587, 5174

Least Common Multiple of 5168 and 5174 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 5174, than apply into the LCM equation.

GCF(5168,5174) = 2
LCM(5168,5174) = ( 5168 × 5174) / 2
LCM(5168,5174) = 26739232 / 2
LCM(5168,5174) = 13369616

Properties of LCM 5168 and 5174

(i) The LCM of 5174 and 5168 is associative

LCM of 5168 and 5174 = LCM of 5174 and 5168

Related Least Common Multiples of 5168

Related Least Common Multiples of 5174

Frequently Asked Questions on LCM of 5168 and 5174

1. What is the LCM of 5168 and 5174?

Answer: LCM of 5168 and 5174 is 13369616.

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 5174?

Answer: Factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174. There are 8 integers that are factors of 5174. The greatest factor of 5174 is 5174.

4. How to Find the LCM of 5168 and 5174?

Answer:

Least Common Multiple of 5168 and 5174 = 13369616

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 5174

5174 = 2 x 13 x 199

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

LCM = 13369616 = 2 x 2 x 2 x 2 x 13 x 17 x 19 x 199

Step 4: Therefore, the least common multiple of 5168 and 5174 is 13369616.