Least Common Multiple of 806 and 811
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 811 the smallest integer that is 653666 that is divisible by both numbers.
Least Common Multiple (LCM) of 806 and 811 is 653666.
LCM(806,811) = 653666
LCM of 806 and 811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 806 and 811 by Prime method
- Least Common Multiple of 806 and 811 with GCF Formula
LCM of 806 and 811 is 653666
Least common multiple can be found by multiplying the highest exponent prime factors of 806 and 811. First we will calculate the prime factors of 806 and 811.
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 811
| 811 | 811 |
| 1 |
Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:
811 = 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 806 and 811.
LCM(806,811) = 21×131×311×8111
LCM(806,811) = 653666
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 811
List of positive integer factors of 811 that divides 811 without a remainder.
1, 811
Least Common Multiple of 806 and 811 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 811, than apply into the LCM equation.
GCF(806,811) = 1
LCM(806,811) = ( 806 × 811) / 1
LCM(806,811) = 653666 / 1
LCM(806,811) = 653666
Properties of LCM 806 and 811
(i) The LCM of 811 and 806 is associative
LCM of 806 and 811 = LCM of 811 and 806
Related Least Common Multiples of 806
Related Least Common Multiples of 811
Frequently Asked Questions on LCM of 806 and 811
1. What is the LCM of 806 and 811?
Answer: LCM of 806 and 811 is 653666.
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 811?
Answer: Factors of 811 are 1, 811. There are 2 integers that are factors of 811. The greatest factor of 811 is 811.
4. How to Find the LCM of 806 and 811?
Answer:
Least Common Multiple of 806 and 811 = 653666
Step 1: Find the prime factorization of 806
806 = 2 x 13 x 31
Step 2: Find the prime factorization of 811
811 = 811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 653666 = 2 x 13 x 31 x 811
Step 4: Therefore, the least common multiple of 806 and 811 is 653666.