Least Common Multiple of 8795 and 8801
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8795 and 8801 the smallest integer that is 77404795 that is divisible by both numbers.
Least Common Multiple (LCM) of 8795 and 8801 is 77404795.
LCM(8795,8801) = 77404795
LCM of 8795 and 8801
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8795 and 8801 by Prime method
- Least Common Multiple of 8795 and 8801 with GCF Formula
LCM of 8795 and 8801 is 77404795
Least common multiple can be found by multiplying the highest exponent prime factors of 8795 and 8801. First we will calculate the prime factors of 8795 and 8801.
Prime Factorization of 8795
| 5 | 8795 |
| 1759 | 1759 |
| 1 |
Prime factors of 8795 are 5,1759. Prime factorization of 8795 in exponential form is:
8795 = 51×17591
Prime Factorization of 8801
| 13 | 8801 |
| 677 | 677 |
| 1 |
Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:
8801 = 131×6771
Now multiplying the highest exponent prime factors to calculate the LCM of 8795 and 8801.
LCM(8795,8801) = 51×131×6771×17591
LCM(8795,8801) = 77404795
Factors of 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1, 5, 1759, 8795
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1, 13, 677, 8801
Least Common Multiple of 8795 and 8801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8795 and 8801, than apply into the LCM equation.
GCF(8795,8801) = 1
LCM(8795,8801) = ( 8795 × 8801) / 1
LCM(8795,8801) = 77404795 / 1
LCM(8795,8801) = 77404795
Properties of LCM 8795 and 8801
(i) The LCM of 8801 and 8795 is associative
LCM of 8795 and 8801 = LCM of 8801 and 8795
Related Least Common Multiples of 8795
Related Least Common Multiples of 8801
Frequently Asked Questions on LCM of 8795 and 8801
1. What is the LCM of 8795 and 8801?
Answer: LCM of 8795 and 8801 is 77404795.
2. What are the Factors of 8795?
Answer: Factors of 8795 are 1, 5, 1759, 8795. There are 4 integers that are factors of 8795. The greatest factor of 8795 is 8795.
3. What are the Factors of 8801?
Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.
4. How to Find the LCM of 8795 and 8801?
Answer:
Least Common Multiple of 8795 and 8801 = 77404795
Step 1: Find the prime factorization of 8795
8795 = 5 x 1759
Step 2: Find the prime factorization of 8801
8801 = 13 x 677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77404795 = 5 x 13 x 677 x 1759
Step 4: Therefore, the least common multiple of 8795 and 8801 is 77404795.