Least Common Multiple of 9062 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 9062 and 9063 the smallest integer that is 82128906 that is divisible by both numbers.
Least Common Multiple (LCM) of 9062 and 9063 is 82128906.
LCM(9062,9063) = 82128906
LCM of 9062 and 9063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9062 and 9063 by Prime method
- Least Common Multiple of 9062 and 9063 with GCF Formula
LCM of 9062 and 9063 is 82128906
Least common multiple can be found by multiplying the highest exponent prime factors of 9062 and 9063. First we will calculate the prime factors of 9062 and 9063.
Prime Factorization of 9062
| 2 | 9062 |
| 23 | 4531 |
| 197 | 197 |
| 1 |
Prime factors of 9062 are 2, 23,197. Prime factorization of 9062 in exponential form is:
9062 = 21×231×1971
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 9062 and 9063.
LCM(9062,9063) = 21×32×191×231×531×1971
LCM(9062,9063) = 82128906
Factors of 9062
List of positive integer factors of 9062 that divides 9062 without a remainder.
1, 2, 23, 46, 197, 394, 4531, 9062
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 9062 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 9062 and 9063, than apply into the LCM equation.
GCF(9062,9063) = 1
LCM(9062,9063) = ( 9062 × 9063) / 1
LCM(9062,9063) = 82128906 / 1
LCM(9062,9063) = 82128906
Properties of LCM 9062 and 9063
(i) The LCM of 9063 and 9062 is associative
LCM of 9062 and 9063 = LCM of 9063 and 9062
Related Least Common Multiples of 9062
Related Least Common Multiples of 9063
Frequently Asked Questions on LCM of 9062 and 9063
1. What is the LCM of 9062 and 9063?
Answer: LCM of 9062 and 9063 is 82128906.
2. What are the Factors of 9062?
Answer: Factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062. There are 8 integers that are factors of 9062. The greatest factor of 9062 is 9062.
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 9062 and 9063?
Answer:
Least Common Multiple of 9062 and 9063 = 82128906
Step 1: Find the prime factorization of 9062
9062 = 2 x 23 x 197
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 = 82128906 = 2 x 3 x 3 x 19 x 23 x 53 x 197
Step 4: Therefore, the least common multiple of 9062 and 9063 is 82128906.