Least Common Multiple of 797 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 797 and 805 the smallest integer that is 641585 that is divisible by both numbers.
Least Common Multiple (LCM) of 797 and 805 is 641585.
LCM(797,805) = 641585
LCM of 797 and 805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 797 and 805 by Prime method
- Least Common Multiple of 797 and 805 with GCF Formula
LCM of 797 and 805 is 641585
Least common multiple can be found by multiplying the highest exponent prime factors of 797 and 805. First we will calculate the prime factors of 797 and 805.
Prime Factorization of 797
| 797 | 797 |
| 1 |
Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:
797 = 7971
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 797 and 805.
LCM(797,805) = 51×71×231×7971
LCM(797,805) = 641585
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1, 797
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 797 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 797 and 805, than apply into the LCM equation.
GCF(797,805) = 1
LCM(797,805) = ( 797 × 805) / 1
LCM(797,805) = 641585 / 1
LCM(797,805) = 641585
Properties of LCM 797 and 805
(i) The LCM of 805 and 797 is associative
LCM of 797 and 805 = LCM of 805 and 797
Related Least Common Multiples of 797
Related Least Common Multiples of 805
Frequently Asked Questions on LCM of 797 and 805
1. What is the LCM of 797 and 805?
Answer: LCM of 797 and 805 is 641585.
2. What are the Factors of 797?
Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.
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 797 and 805?
Answer:
Least Common Multiple of 797 and 805 = 641585
Step 1: Find the prime factorization of 797
797 = 797
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 = 641585 = 5 x 7 x 23 x 797
Step 4: Therefore, the least common multiple of 797 and 805 is 641585.
