Least Common Multiple of 798 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 798 and 806 the smallest integer that is 321594 that is divisible by both numbers.
Least Common Multiple (LCM) of 798 and 806 is 321594.
LCM(798,806) = 321594
LCM of 798 and 806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 798 and 806 by Prime method
- Least Common Multiple of 798 and 806 with GCF Formula
LCM of 798 and 806 is 321594
Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 806. First we will calculate the prime factors of 798 and 806.
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 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 798 and 806.
LCM(798,806) = 21×31×71×131×191×311
LCM(798,806) = 321594
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 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 798 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 798 and 806, than apply into the LCM equation.
GCF(798,806) = 2
LCM(798,806) = ( 798 × 806) / 2
LCM(798,806) = 643188 / 2
LCM(798,806) = 321594
Properties of LCM 798 and 806
(i) The LCM of 806 and 798 is associative
LCM of 798 and 806 = LCM of 806 and 798
Related Least Common Multiples of 798
Related Least Common Multiples of 806
Frequently Asked Questions on LCM of 798 and 806
1. What is the LCM of 798 and 806?
Answer: LCM of 798 and 806 is 321594.
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 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 798 and 806?
Answer:
Least Common Multiple of 798 and 806 = 321594
Step 1: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
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 = 321594 = 2 x 3 x 7 x 13 x 19 x 31
Step 4: Therefore, the least common multiple of 798 and 806 is 321594.