Least Common Multiple of 798 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 798 and 805 the smallest integer that is 91770 that is divisible by both numbers.
Least Common Multiple (LCM) of 798 and 805 is 91770.
LCM(798,805) = 91770
LCM of 798 and 805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 798 and 805 by Prime method
- Least Common Multiple of 798 and 805 with GCF Formula
LCM of 798 and 805 is 91770
Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 805. First we will calculate the prime factors of 798 and 805.
Prime Factorization of 798
| 2 | 798 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:
798 = 21×31×71×191
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 798 and 805.
LCM(798,805) = 21×31×51×71×191×231
LCM(798,805) = 91770
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
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 798 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 798 and 805, than apply into the LCM equation.
GCF(798,805) = 7
LCM(798,805) = ( 798 × 805) / 7
LCM(798,805) = 642390 / 7
LCM(798,805) = 91770
Properties of LCM 798 and 805
(i) The LCM of 805 and 798 is associative
LCM of 798 and 805 = LCM of 805 and 798
Related Least Common Multiples of 798
Related Least Common Multiples of 805
Frequently Asked Questions on LCM of 798 and 805
1. What is the LCM of 798 and 805?
Answer: LCM of 798 and 805 is 91770.
2. What are the Factors of 798?
Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.
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 798 and 805?
Answer:
Least Common Multiple of 798 and 805 = 91770
Step 1: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
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 = 91770 = 2 x 3 x 5 x 7 x 19 x 23
Step 4: Therefore, the least common multiple of 798 and 805 is 91770.
