Least Common Multiple of 8073 and 8077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8073 and 8077 the smallest integer that is 65205621 that is divisible by both numbers.
Least Common Multiple (LCM) of 8073 and 8077 is 65205621.
LCM(8073,8077) = 65205621
LCM of 8073 and 8077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8073 and 8077 by Prime method
- Least Common Multiple of 8073 and 8077 with GCF Formula
LCM of 8073 and 8077 is 65205621
Least common multiple can be found by multiplying the highest exponent prime factors of 8073 and 8077. First we will calculate the prime factors of 8073 and 8077.
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
Prime Factorization of 8077
| 41 | 8077 |
| 197 | 197 |
| 1 |
Prime factors of 8077 are 41,197. Prime factorization of 8077 in exponential form is:
8077 = 411×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 8073 and 8077.
LCM(8073,8077) = 33×131×231×411×1971
LCM(8073,8077) = 65205621
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
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1, 41, 197, 8077
Least Common Multiple of 8073 and 8077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8073 and 8077, than apply into the LCM equation.
GCF(8073,8077) = 1
LCM(8073,8077) = ( 8073 × 8077) / 1
LCM(8073,8077) = 65205621 / 1
LCM(8073,8077) = 65205621
Properties of LCM 8073 and 8077
(i) The LCM of 8077 and 8073 is associative
LCM of 8073 and 8077 = LCM of 8077 and 8073
Related Least Common Multiples of 8073
Related Least Common Multiples of 8077
Frequently Asked Questions on LCM of 8073 and 8077
1. What is the LCM of 8073 and 8077?
Answer: LCM of 8073 and 8077 is 65205621.
2. 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.
3. What are the Factors of 8077?
Answer: Factors of 8077 are 1, 41, 197, 8077. There are 4 integers that are factors of 8077. The greatest factor of 8077 is 8077.
4. How to Find the LCM of 8073 and 8077?
Answer:
Least Common Multiple of 8073 and 8077 = 65205621
Step 1: Find the prime factorization of 8073
8073 = 3 x 3 x 3 x 13 x 23
Step 2: Find the prime factorization of 8077
8077 = 41 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65205621 = 3 x 3 x 3 x 13 x 23 x 41 x 197
Step 4: Therefore, the least common multiple of 8073 and 8077 is 65205621.