Least Common Multiple of 805 and 806
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 805 and 806 the smallest integer that is 648830 that is divisible by both numbers.
Least Common Multiple (LCM) of 805 and 806 is 648830.
LCM(805,806) = 648830
LCM of 805 and 806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 805 and 806 by Prime method
- Least Common Multiple of 805 and 806 with GCF Formula
LCM of 805 and 806 is 648830
Least common multiple can be found by multiplying the highest exponent prime factors of 805 and 806. First we will calculate the prime factors of 805 and 806.
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
Prime Factorization of 806
| 2 | 806 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 806 are 2, 13,31. Prime factorization of 806 in exponential form is:
806 = 21×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 805 and 806.
LCM(805,806) = 21×51×71×131×231×311
LCM(805,806) = 648830
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Least Common Multiple of 805 and 806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 805 and 806, than apply into the LCM equation.
GCF(805,806) = 1
LCM(805,806) = ( 805 × 806) / 1
LCM(805,806) = 648830 / 1
LCM(805,806) = 648830
Properties of LCM 805 and 806
(i) The LCM of 806 and 805 is associative
LCM of 805 and 806 = LCM of 806 and 805
Related Least Common Multiples of 805
Related Least Common Multiples of 806
Frequently Asked Questions on LCM of 805 and 806
1. What is the LCM of 805 and 806?
Answer: LCM of 805 and 806 is 648830.
2. 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.
3. What are the Factors of 806?
Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.
4. How to Find the LCM of 805 and 806?
Answer:
Least Common Multiple of 805 and 806 = 648830
Step 1: Find the prime factorization of 805
805 = 5 x 7 x 23
Step 2: Find the prime factorization of 806
806 = 2 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 648830 = 2 x 5 x 7 x 13 x 23 x 31
Step 4: Therefore, the least common multiple of 805 and 806 is 648830.
