Least Common Multiple of 9058 and 9063
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9058 and 9063 the smallest integer that is 82092654 that is divisible by both numbers.
Least Common Multiple (LCM) of 9058 and 9063 is 82092654.
LCM(9058,9063) = 82092654
LCM of 9058 and 9063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9058 and 9063 by Prime method
- Least Common Multiple of 9058 and 9063 with GCF Formula
LCM of 9058 and 9063 is 82092654
Least common multiple can be found by multiplying the highest exponent prime factors of 9058 and 9063. First we will calculate the prime factors of 9058 and 9063.
Prime Factorization of 9058
| 2 | 9058 |
| 7 | 4529 |
| 647 | 647 |
| 1 |
Prime factors of 9058 are 2, 7,647. Prime factorization of 9058 in exponential form is:
9058 = 21×71×6471
Prime Factorization of 9063
| 3 | 9063 |
| 3 | 3021 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 9063 are 3, 19,53. Prime factorization of 9063 in exponential form is:
9063 = 32×191×531
Now multiplying the highest exponent prime factors to calculate the LCM of 9058 and 9063.
LCM(9058,9063) = 21×32×71×191×531×6471
LCM(9058,9063) = 82092654
Factors of 9058
List of positive integer factors of 9058 that divides 9058 without a remainder.
1, 2, 7, 14, 647, 1294, 4529, 9058
Factors of 9063
List of positive integer factors of 9063 that divides 9063 without a remainder.
1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021, 9063
Least Common Multiple of 9058 and 9063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9058 and 9063, than apply into the LCM equation.
GCF(9058,9063) = 1
LCM(9058,9063) = ( 9058 × 9063) / 1
LCM(9058,9063) = 82092654 / 1
LCM(9058,9063) = 82092654
Properties of LCM 9058 and 9063
(i) The LCM of 9063 and 9058 is associative
LCM of 9058 and 9063 = LCM of 9063 and 9058
Related Least Common Multiples of 9058
Related Least Common Multiples of 9063
Frequently Asked Questions on LCM of 9058 and 9063
1. What is the LCM of 9058 and 9063?
Answer: LCM of 9058 and 9063 is 82092654.
2. What are the Factors of 9058?
Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.
3. What are the Factors of 9063?
Answer: Factors of 9063 are 1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021, 9063. There are 12 integers that are factors of 9063. The greatest factor of 9063 is 9063.
4. How to Find the LCM of 9058 and 9063?
Answer:
Least Common Multiple of 9058 and 9063 = 82092654
Step 1: Find the prime factorization of 9058
9058 = 2 x 7 x 647
Step 2: Find the prime factorization of 9063
9063 = 3 x 3 x 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82092654 = 2 x 3 x 3 x 7 x 19 x 53 x 647
Step 4: Therefore, the least common multiple of 9058 and 9063 is 82092654.