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 5173 the smallest integer that is 26734064 that is divisible by both numbers.
Least Common Multiple (LCM) of 5168 and 5173 is 26734064.
LCM(5168,5173) = 26734064
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5168 and 5173. First we will calculate the prime factors of 5168 and 5173.
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 5173
7 | 5173 |
739 | 739 |
1 |
Prime factors of 5173 are 7,739. Prime factorization of 5173 in exponential form is:
5173 = 71×7391
Now multiplying the highest exponent prime factors to calculate the LCM of 5168 and 5173.
LCM(5168,5173) = 24×71×171×191×7391
LCM(5168,5173) = 26734064
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 5173
List of positive integer factors of 5173 that divides 5173 without a remainder.
1, 7, 739, 5173
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5168 and 5173, than apply into the LCM equation.
GCF(5168,5173) = 1
LCM(5168,5173) = ( 5168 × 5173) / 1
LCM(5168,5173) = 26734064 / 1
LCM(5168,5173) = 26734064
(i) The LCM of 5173 and 5168 is associative
LCM of 5168 and 5173 = LCM of 5173 and 5168
1. What is the LCM of 5168 and 5173?
Answer: LCM of 5168 and 5173 is 26734064.
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 5173?
Answer: Factors of 5173 are 1, 7, 739, 5173. There are 4 integers that are factors of 5173. The greatest factor of 5173 is 5173.
4. How to Find the LCM of 5168 and 5173?
Answer:
Least Common Multiple of 5168 and 5173 = 26734064
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 5173
5173 = 7 x 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26734064 = 2 x 2 x 2 x 2 x 7 x 17 x 19 x 739
Step 4: Therefore, the least common multiple of 5168 and 5173 is 26734064.