Least Common Multiple of 7163 and 7170
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7163 and 7170 the smallest integer that is 51358710 that is divisible by both numbers.
Least Common Multiple (LCM) of 7163 and 7170 is 51358710.
LCM(7163,7170) = 51358710
LCM of 7163 and 7170
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7163 and 7170 by Prime method
- Least Common Multiple of 7163 and 7170 with GCF Formula
LCM of 7163 and 7170 is 51358710
Least common multiple can be found by multiplying the highest exponent prime factors of 7163 and 7170. First we will calculate the prime factors of 7163 and 7170.
Prime Factorization of 7163
| 13 | 7163 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 7163 are 13, 19,29. Prime factorization of 7163 in exponential form is:
7163 = 131×191×291
Prime Factorization of 7170
| 2 | 7170 |
| 3 | 3585 |
| 5 | 1195 |
| 239 | 239 |
| 1 |
Prime factors of 7170 are 2, 3, 5,239. Prime factorization of 7170 in exponential form is:
7170 = 21×31×51×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 7163 and 7170.
LCM(7163,7170) = 21×31×51×131×191×291×2391
LCM(7163,7170) = 51358710
Factors of 7163
List of positive integer factors of 7163 that divides 7163 without a remainder.
1, 13, 19, 29, 247, 377, 551, 7163
Factors of 7170
List of positive integer factors of 7170 that divides 7170 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170
Least Common Multiple of 7163 and 7170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7163 and 7170, than apply into the LCM equation.
GCF(7163,7170) = 1
LCM(7163,7170) = ( 7163 × 7170) / 1
LCM(7163,7170) = 51358710 / 1
LCM(7163,7170) = 51358710
Properties of LCM 7163 and 7170
(i) The LCM of 7170 and 7163 is associative
LCM of 7163 and 7170 = LCM of 7170 and 7163
Related Least Common Multiples of 7163
Related Least Common Multiples of 7170
Frequently Asked Questions on LCM of 7163 and 7170
1. What is the LCM of 7163 and 7170?
Answer: LCM of 7163 and 7170 is 51358710.
2. What are the Factors of 7163?
Answer: Factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163. There are 8 integers that are factors of 7163. The greatest factor of 7163 is 7163.
3. What are the Factors of 7170?
Answer: Factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170. There are 16 integers that are factors of 7170. The greatest factor of 7170 is 7170.
4. How to Find the LCM of 7163 and 7170?
Answer:
Least Common Multiple of 7163 and 7170 = 51358710
Step 1: Find the prime factorization of 7163
7163 = 13 x 19 x 29
Step 2: Find the prime factorization of 7170
7170 = 2 x 3 x 5 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51358710 = 2 x 3 x 5 x 13 x 19 x 29 x 239
Step 4: Therefore, the least common multiple of 7163 and 7170 is 51358710.