Least Common Multiple of 8077 and 8078
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8077 and 8078 the smallest integer that is 65246006 that is divisible by both numbers.
Least Common Multiple (LCM) of 8077 and 8078 is 65246006.
LCM(8077,8078) = 65246006
LCM of 8077 and 8078
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8077 and 8078 by Prime method
- Least Common Multiple of 8077 and 8078 with GCF Formula
LCM of 8077 and 8078 is 65246006
Least common multiple can be found by multiplying the highest exponent prime factors of 8077 and 8078. First we will calculate the prime factors of 8077 and 8078.
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
Prime Factorization of 8078
| 2 | 8078 |
| 7 | 4039 |
| 577 | 577 |
| 1 |
Prime factors of 8078 are 2, 7,577. Prime factorization of 8078 in exponential form is:
8078 = 21×71×5771
Now multiplying the highest exponent prime factors to calculate the LCM of 8077 and 8078.
LCM(8077,8078) = 21×71×411×1971×5771
LCM(8077,8078) = 65246006
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1, 41, 197, 8077
Factors of 8078
List of positive integer factors of 8078 that divides 8078 without a remainder.
1, 2, 7, 14, 577, 1154, 4039, 8078
Least Common Multiple of 8077 and 8078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8077 and 8078, than apply into the LCM equation.
GCF(8077,8078) = 1
LCM(8077,8078) = ( 8077 × 8078) / 1
LCM(8077,8078) = 65246006 / 1
LCM(8077,8078) = 65246006
Properties of LCM 8077 and 8078
(i) The LCM of 8078 and 8077 is associative
LCM of 8077 and 8078 = LCM of 8078 and 8077
Related Least Common Multiples of 8077
Related Least Common Multiples of 8078
Frequently Asked Questions on LCM of 8077 and 8078
1. What is the LCM of 8077 and 8078?
Answer: LCM of 8077 and 8078 is 65246006.
2. 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.
3. What are the Factors of 8078?
Answer: Factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078. There are 8 integers that are factors of 8078. The greatest factor of 8078 is 8078.
4. How to Find the LCM of 8077 and 8078?
Answer:
Least Common Multiple of 8077 and 8078 = 65246006
Step 1: Find the prime factorization of 8077
8077 = 41 x 197
Step 2: Find the prime factorization of 8078
8078 = 2 x 7 x 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65246006 = 2 x 7 x 41 x 197 x 577
Step 4: Therefore, the least common multiple of 8077 and 8078 is 65246006.