Least Common Multiple of 9063 and 9071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9063 and 9071 the smallest integer that is 82210473 that is divisible by both numbers.
Least Common Multiple (LCM) of 9063 and 9071 is 82210473.
LCM(9063,9071) = 82210473
LCM of 9063 and 9071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9063 and 9071 by Prime method
- Least Common Multiple of 9063 and 9071 with GCF Formula
LCM of 9063 and 9071 is 82210473
Least common multiple can be found by multiplying the highest exponent prime factors of 9063 and 9071. First we will calculate the prime factors of 9063 and 9071.
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
Prime Factorization of 9071
| 47 | 9071 |
| 193 | 193 |
| 1 |
Prime factors of 9071 are 47,193. Prime factorization of 9071 in exponential form is:
9071 = 471×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 9063 and 9071.
LCM(9063,9071) = 32×191×471×531×1931
LCM(9063,9071) = 82210473
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
Factors of 9071
List of positive integer factors of 9071 that divides 9071 without a remainder.
1, 47, 193, 9071
Least Common Multiple of 9063 and 9071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9063 and 9071, than apply into the LCM equation.
GCF(9063,9071) = 1
LCM(9063,9071) = ( 9063 × 9071) / 1
LCM(9063,9071) = 82210473 / 1
LCM(9063,9071) = 82210473
Properties of LCM 9063 and 9071
(i) The LCM of 9071 and 9063 is associative
LCM of 9063 and 9071 = LCM of 9071 and 9063
Related Least Common Multiples of 9063
Related Least Common Multiples of 9071
Frequently Asked Questions on LCM of 9063 and 9071
1. What is the LCM of 9063 and 9071?
Answer: LCM of 9063 and 9071 is 82210473.
2. 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.
3. What are the Factors of 9071?
Answer: Factors of 9071 are 1, 47, 193, 9071. There are 4 integers that are factors of 9071. The greatest factor of 9071 is 9071.
4. How to Find the LCM of 9063 and 9071?
Answer:
Least Common Multiple of 9063 and 9071 = 82210473
Step 1: Find the prime factorization of 9063
9063 = 3 x 3 x 19 x 53
Step 2: Find the prime factorization of 9071
9071 = 47 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82210473 = 3 x 3 x 19 x 47 x 53 x 193
Step 4: Therefore, the least common multiple of 9063 and 9071 is 82210473.