Least Common Multiple of 806 and 813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 806 and 813 the smallest integer that is 655278 that is divisible by both numbers.
Least Common Multiple (LCM) of 806 and 813 is 655278.
LCM(806,813) = 655278
LCM of 806 and 813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 806 and 813 by Prime method
- Least Common Multiple of 806 and 813 with GCF Formula
LCM of 806 and 813 is 655278
Least common multiple can be found by multiplying the highest exponent prime factors of 806 and 813. First we will calculate the prime factors of 806 and 813.
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
Prime Factorization of 813
| 3 | 813 |
| 271 | 271 |
| 1 |
Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:
813 = 31×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 806 and 813.
LCM(806,813) = 21×31×131×311×2711
LCM(806,813) = 655278
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Least Common Multiple of 806 and 813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 806 and 813, than apply into the LCM equation.
GCF(806,813) = 1
LCM(806,813) = ( 806 × 813) / 1
LCM(806,813) = 655278 / 1
LCM(806,813) = 655278
Properties of LCM 806 and 813
(i) The LCM of 813 and 806 is associative
LCM of 806 and 813 = LCM of 813 and 806
Related Least Common Multiples of 806
Related Least Common Multiples of 813
Frequently Asked Questions on LCM of 806 and 813
1. What is the LCM of 806 and 813?
Answer: LCM of 806 and 813 is 655278.
2. 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.
3. What are the Factors of 813?
Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.
4. How to Find the LCM of 806 and 813?
Answer:
Least Common Multiple of 806 and 813 = 655278
Step 1: Find the prime factorization of 806
806 = 2 x 13 x 31
Step 2: Find the prime factorization of 813
813 = 3 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 655278 = 2 x 3 x 13 x 31 x 271
Step 4: Therefore, the least common multiple of 806 and 813 is 655278.
