Least Common Multiple of 799 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 799 and 806 the smallest integer that is 643994 that is divisible by both numbers.
Least Common Multiple (LCM) of 799 and 806 is 643994.
LCM(799,806) = 643994
LCM of 799 and 806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 799 and 806 by Prime method
- Least Common Multiple of 799 and 806 with GCF Formula
LCM of 799 and 806 is 643994
Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 806. First we will calculate the prime factors of 799 and 806.
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 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 799 and 806.
LCM(799,806) = 21×131×171×311×471
LCM(799,806) = 643994
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
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 799 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 799 and 806, than apply into the LCM equation.
GCF(799,806) = 1
LCM(799,806) = ( 799 × 806) / 1
LCM(799,806) = 643994 / 1
LCM(799,806) = 643994
Properties of LCM 799 and 806
(i) The LCM of 806 and 799 is associative
LCM of 799 and 806 = LCM of 806 and 799
Related Least Common Multiples of 799
Related Least Common Multiples of 806
Frequently Asked Questions on LCM of 799 and 806
1. What is the LCM of 799 and 806?
Answer: LCM of 799 and 806 is 643994.
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 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 799 and 806?
Answer:
Least Common Multiple of 799 and 806 = 643994
Step 1: Find the prime factorization of 799
799 = 17 x 47
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 = 643994 = 2 x 13 x 17 x 31 x 47
Step 4: Therefore, the least common multiple of 799 and 806 is 643994.