Least Common Multiple of 8066 and 8073
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8066 and 8073 the smallest integer that is 65116818 that is divisible by both numbers.
Least Common Multiple (LCM) of 8066 and 8073 is 65116818.
LCM(8066,8073) = 65116818
LCM of 8066 and 8073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8066 and 8073 by Prime method
- Least Common Multiple of 8066 and 8073 with GCF Formula
LCM of 8066 and 8073 is 65116818
Least common multiple can be found by multiplying the highest exponent prime factors of 8066 and 8073. First we will calculate the prime factors of 8066 and 8073.
Prime Factorization of 8066
| 2 | 8066 |
| 37 | 4033 |
| 109 | 109 |
| 1 |
Prime factors of 8066 are 2, 37,109. Prime factorization of 8066 in exponential form is:
8066 = 21×371×1091
Prime Factorization of 8073
| 3 | 8073 |
| 3 | 2691 |
| 3 | 897 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 8073 are 3, 13,23. Prime factorization of 8073 in exponential form is:
8073 = 33×131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8066 and 8073.
LCM(8066,8073) = 21×33×131×231×371×1091
LCM(8066,8073) = 65116818
Factors of 8066
List of positive integer factors of 8066 that divides 8066 without a remainder.
1, 2, 37, 74, 109, 218, 4033, 8066
Factors of 8073
List of positive integer factors of 8073 that divides 8073 without a remainder.
1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
Least Common Multiple of 8066 and 8073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8066 and 8073, than apply into the LCM equation.
GCF(8066,8073) = 1
LCM(8066,8073) = ( 8066 × 8073) / 1
LCM(8066,8073) = 65116818 / 1
LCM(8066,8073) = 65116818
Properties of LCM 8066 and 8073
(i) The LCM of 8073 and 8066 is associative
LCM of 8066 and 8073 = LCM of 8073 and 8066
Related Least Common Multiples of 8066
Related Least Common Multiples of 8073
Frequently Asked Questions on LCM of 8066 and 8073
1. What is the LCM of 8066 and 8073?
Answer: LCM of 8066 and 8073 is 65116818.
2. What are the Factors of 8066?
Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.
3. What are the Factors of 8073?
Answer: Factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073. There are 16 integers that are factors of 8073. The greatest factor of 8073 is 8073.
4. How to Find the LCM of 8066 and 8073?
Answer:
Least Common Multiple of 8066 and 8073 = 65116818
Step 1: Find the prime factorization of 8066
8066 = 2 x 37 x 109
Step 2: Find the prime factorization of 8073
8073 = 3 x 3 x 3 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65116818 = 2 x 3 x 3 x 3 x 13 x 23 x 37 x 109
Step 4: Therefore, the least common multiple of 8066 and 8073 is 65116818.