Least Common Multiple of 8058 and 8063
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8058 and 8063 the smallest integer that is 64971654 that is divisible by both numbers.
Least Common Multiple (LCM) of 8058 and 8063 is 64971654.
LCM(8058,8063) = 64971654
LCM of 8058 and 8063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8058 and 8063 by Prime method
- Least Common Multiple of 8058 and 8063 with GCF Formula
LCM of 8058 and 8063 is 64971654
Least common multiple can be found by multiplying the highest exponent prime factors of 8058 and 8063. First we will calculate the prime factors of 8058 and 8063.
Prime Factorization of 8058
| 2 | 8058 |
| 3 | 4029 |
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 8058 are 2, 3, 17,79. Prime factorization of 8058 in exponential form is:
8058 = 21×31×171×791
Prime Factorization of 8063
| 11 | 8063 |
| 733 | 733 |
| 1 |
Prime factors of 8063 are 11,733. Prime factorization of 8063 in exponential form is:
8063 = 111×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 8058 and 8063.
LCM(8058,8063) = 21×31×111×171×791×7331
LCM(8058,8063) = 64971654
Factors of 8058
List of positive integer factors of 8058 that divides 8058 without a remainder.
1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058
Factors of 8063
List of positive integer factors of 8063 that divides 8063 without a remainder.
1, 11, 733, 8063
Least Common Multiple of 8058 and 8063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8058 and 8063, than apply into the LCM equation.
GCF(8058,8063) = 1
LCM(8058,8063) = ( 8058 × 8063) / 1
LCM(8058,8063) = 64971654 / 1
LCM(8058,8063) = 64971654
Properties of LCM 8058 and 8063
(i) The LCM of 8063 and 8058 is associative
LCM of 8058 and 8063 = LCM of 8063 and 8058
Related Least Common Multiples of 8058
Related Least Common Multiples of 8063
Frequently Asked Questions on LCM of 8058 and 8063
1. What is the LCM of 8058 and 8063?
Answer: LCM of 8058 and 8063 is 64971654.
2. What are the Factors of 8058?
Answer: Factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058. There are 16 integers that are factors of 8058. The greatest factor of 8058 is 8058.
3. What are the Factors of 8063?
Answer: Factors of 8063 are 1, 11, 733, 8063. There are 4 integers that are factors of 8063. The greatest factor of 8063 is 8063.
4. How to Find the LCM of 8058 and 8063?
Answer:
Least Common Multiple of 8058 and 8063 = 64971654
Step 1: Find the prime factorization of 8058
8058 = 2 x 3 x 17 x 79
Step 2: Find the prime factorization of 8063
8063 = 11 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64971654 = 2 x 3 x 11 x 17 x 79 x 733
Step 4: Therefore, the least common multiple of 8058 and 8063 is 64971654.