Least Common Multiple of 7162 and 7163
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7162 and 7163 the smallest integer that is 51301406 that is divisible by both numbers.
Least Common Multiple (LCM) of 7162 and 7163 is 51301406.
LCM(7162,7163) = 51301406
LCM of 7162 and 7163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7162 and 7163 by Prime method
- Least Common Multiple of 7162 and 7163 with GCF Formula
LCM of 7162 and 7163 is 51301406
Least common multiple can be found by multiplying the highest exponent prime factors of 7162 and 7163. First we will calculate the prime factors of 7162 and 7163.
Prime Factorization of 7162
| 2 | 7162 |
| 3581 | 3581 |
| 1 |
Prime factors of 7162 are 2,3581. Prime factorization of 7162 in exponential form is:
7162 = 21×35811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7162 and 7163.
LCM(7162,7163) = 21×131×191×291×35811
LCM(7162,7163) = 51301406
Factors of 7162
List of positive integer factors of 7162 that divides 7162 without a remainder.
1, 2, 3581, 7162
Factors of 7163
List of positive integer factors of 7163 that divides 7163 without a remainder.
1, 13, 19, 29, 247, 377, 551, 7163
Least Common Multiple of 7162 and 7163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7162 and 7163, than apply into the LCM equation.
GCF(7162,7163) = 1
LCM(7162,7163) = ( 7162 × 7163) / 1
LCM(7162,7163) = 51301406 / 1
LCM(7162,7163) = 51301406
Properties of LCM 7162 and 7163
(i) The LCM of 7163 and 7162 is associative
LCM of 7162 and 7163 = LCM of 7163 and 7162
Related Least Common Multiples of 7162
Related Least Common Multiples of 7163
Frequently Asked Questions on LCM of 7162 and 7163
1. What is the LCM of 7162 and 7163?
Answer: LCM of 7162 and 7163 is 51301406.
2. What are the Factors of 7162?
Answer: Factors of 7162 are 1, 2, 3581, 7162. There are 4 integers that are factors of 7162. The greatest factor of 7162 is 7162.
3. 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.
4. How to Find the LCM of 7162 and 7163?
Answer:
Least Common Multiple of 7162 and 7163 = 51301406
Step 1: Find the prime factorization of 7162
7162 = 2 x 3581
Step 2: Find the prime factorization of 7163
7163 = 13 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51301406 = 2 x 13 x 19 x 29 x 3581
Step 4: Therefore, the least common multiple of 7162 and 7163 is 51301406.