Least Common Multiple of 5166 and 5173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5166 and 5173 the smallest integer that is 3817674 that is divisible by both numbers.
Least Common Multiple (LCM) of 5166 and 5173 is 3817674.
LCM(5166,5173) = 3817674
LCM of 5166 and 5173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5166 and 5173 by Prime method
- Least Common Multiple of 5166 and 5173 with GCF Formula
LCM of 5166 and 5173 is 3817674
Least common multiple can be found by multiplying the highest exponent prime factors of 5166 and 5173. First we will calculate the prime factors of 5166 and 5173.
Prime Factorization of 5166
| 2 | 5166 |
| 3 | 2583 |
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 5166 are 2, 3, 7,41. Prime factorization of 5166 in exponential form is:
5166 = 21×32×71×411
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 5166 and 5173.
LCM(5166,5173) = 21×32×71×411×7391
LCM(5166,5173) = 3817674
Factors of 5166
List of positive integer factors of 5166 that divides 5166 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166
Factors of 5173
List of positive integer factors of 5173 that divides 5173 without a remainder.
1, 7, 739, 5173
Least Common Multiple of 5166 and 5173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5166 and 5173, than apply into the LCM equation.
GCF(5166,5173) = 7
LCM(5166,5173) = ( 5166 × 5173) / 7
LCM(5166,5173) = 26723718 / 7
LCM(5166,5173) = 3817674
Properties of LCM 5166 and 5173
(i) The LCM of 5173 and 5166 is associative
LCM of 5166 and 5173 = LCM of 5173 and 5166
Related Least Common Multiples of 5166
Related Least Common Multiples of 5173
Frequently Asked Questions on LCM of 5166 and 5173
1. What is the LCM of 5166 and 5173?
Answer: LCM of 5166 and 5173 is 3817674.
2. What are the Factors of 5166?
Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.
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 5166 and 5173?
Answer:
Least Common Multiple of 5166 and 5173 = 3817674
Step 1: Find the prime factorization of 5166
5166 = 2 x 3 x 3 x 7 x 41
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 = 3817674 = 2 x 3 x 3 x 7 x 41 x 739
Step 4: Therefore, the least common multiple of 5166 and 5173 is 3817674.