Least Common Multiple of 799 and 805
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 799 and 805 the smallest integer that is 643195 that is divisible by both numbers.
Least Common Multiple (LCM) of 799 and 805 is 643195.
LCM(799,805) = 643195
LCM of 799 and 805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 799 and 805 by Prime method
- Least Common Multiple of 799 and 805 with GCF Formula
LCM of 799 and 805 is 643195
Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 805. First we will calculate the prime factors of 799 and 805.
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
Prime Factorization of 805
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 805 are 5, 7,23. Prime factorization of 805 in exponential form is:
805 = 51×71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 799 and 805.
LCM(799,805) = 51×71×171×231×471
LCM(799,805) = 643195
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Least Common Multiple of 799 and 805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 799 and 805, than apply into the LCM equation.
GCF(799,805) = 1
LCM(799,805) = ( 799 × 805) / 1
LCM(799,805) = 643195 / 1
LCM(799,805) = 643195
Properties of LCM 799 and 805
(i) The LCM of 805 and 799 is associative
LCM of 799 and 805 = LCM of 805 and 799
Related Least Common Multiples of 799
Related Least Common Multiples of 805
Frequently Asked Questions on LCM of 799 and 805
1. What is the LCM of 799 and 805?
Answer: LCM of 799 and 805 is 643195.
2. 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.
3. What are the Factors of 805?
Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.
4. How to Find the LCM of 799 and 805?
Answer:
Least Common Multiple of 799 and 805 = 643195
Step 1: Find the prime factorization of 799
799 = 17 x 47
Step 2: Find the prime factorization of 805
805 = 5 x 7 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 = 643195 = 5 x 7 x 17 x 23 x 47
Step 4: Therefore, the least common multiple of 799 and 805 is 643195.
