Least Common Multiple of 795 and 799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 795 and 799 the smallest integer that is 635205 that is divisible by both numbers.
Least Common Multiple (LCM) of 795 and 799 is 635205.
LCM(795,799) = 635205
LCM of 795 and 799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 795 and 799 by Prime method
- Least Common Multiple of 795 and 799 with GCF Formula
LCM of 795 and 799 is 635205
Least common multiple can be found by multiplying the highest exponent prime factors of 795 and 799. First we will calculate the prime factors of 795 and 799.
Prime Factorization of 795
| 3 | 795 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:
795 = 31×51×531
Prime Factorization of 799
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:
799 = 171×471
Now multiplying the highest exponent prime factors to calculate the LCM of 795 and 799.
LCM(795,799) = 31×51×171×471×531
LCM(795,799) = 635205
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Least Common Multiple of 795 and 799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 795 and 799, than apply into the LCM equation.
GCF(795,799) = 1
LCM(795,799) = ( 795 × 799) / 1
LCM(795,799) = 635205 / 1
LCM(795,799) = 635205
Properties of LCM 795 and 799
(i) The LCM of 799 and 795 is associative
LCM of 795 and 799 = LCM of 799 and 795
Related Least Common Multiples of 795
Related Least Common Multiples of 799
Frequently Asked Questions on LCM of 795 and 799
1. What is the LCM of 795 and 799?
Answer: LCM of 795 and 799 is 635205.
2. What are the Factors of 795?
Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.
3. What are the Factors of 799?
Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.
4. How to Find the LCM of 795 and 799?
Answer:
Least Common Multiple of 795 and 799 = 635205
Step 1: Find the prime factorization of 795
795 = 3 x 5 x 53
Step 2: Find the prime factorization of 799
799 = 17 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 635205 = 3 x 5 x 17 x 47 x 53
Step 4: Therefore, the least common multiple of 795 and 799 is 635205.