Least Common Multiple of 8065 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 8065 and 8073 the smallest integer that is 65108745 that is divisible by both numbers.
Least Common Multiple (LCM) of 8065 and 8073 is 65108745.
LCM(8065,8073) = 65108745
LCM of 8065 and 8073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8065 and 8073 by Prime method
- Least Common Multiple of 8065 and 8073 with GCF Formula
LCM of 8065 and 8073 is 65108745
Least common multiple can be found by multiplying the highest exponent prime factors of 8065 and 8073. First we will calculate the prime factors of 8065 and 8073.
Prime Factorization of 8065
| 5 | 8065 |
| 1613 | 1613 |
| 1 |
Prime factors of 8065 are 5,1613. Prime factorization of 8065 in exponential form is:
8065 = 51×16131
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 8065 and 8073.
LCM(8065,8073) = 33×51×131×231×16131
LCM(8065,8073) = 65108745
Factors of 8065
List of positive integer factors of 8065 that divides 8065 without a remainder.
1, 5, 1613, 8065
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 8065 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 8065 and 8073, than apply into the LCM equation.
GCF(8065,8073) = 1
LCM(8065,8073) = ( 8065 × 8073) / 1
LCM(8065,8073) = 65108745 / 1
LCM(8065,8073) = 65108745
Properties of LCM 8065 and 8073
(i) The LCM of 8073 and 8065 is associative
LCM of 8065 and 8073 = LCM of 8073 and 8065
Related Least Common Multiples of 8065
Related Least Common Multiples of 8073
Frequently Asked Questions on LCM of 8065 and 8073
1. What is the LCM of 8065 and 8073?
Answer: LCM of 8065 and 8073 is 65108745.
2. What are the Factors of 8065?
Answer: Factors of 8065 are 1, 5, 1613, 8065. There are 4 integers that are factors of 8065. The greatest factor of 8065 is 8065.
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 8065 and 8073?
Answer:
Least Common Multiple of 8065 and 8073 = 65108745
Step 1: Find the prime factorization of 8065
8065 = 5 x 1613
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 = 65108745 = 3 x 3 x 3 x 5 x 13 x 23 x 1613
Step 4: Therefore, the least common multiple of 8065 and 8073 is 65108745.