Least Common Multiple of 803 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 803 and 806 the smallest integer that is 647218 that is divisible by both numbers.
Least Common Multiple (LCM) of 803 and 806 is 647218.
LCM(803,806) = 647218
LCM of 803 and 806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 803 and 806 by Prime method
- Least Common Multiple of 803 and 806 with GCF Formula
LCM of 803 and 806 is 647218
Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 806. First we will calculate the prime factors of 803 and 806.
Prime Factorization of 803
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:
803 = 111×731
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 803 and 806.
LCM(803,806) = 21×111×131×311×731
LCM(803,806) = 647218
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1, 11, 73, 803
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 803 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 803 and 806, than apply into the LCM equation.
GCF(803,806) = 1
LCM(803,806) = ( 803 × 806) / 1
LCM(803,806) = 647218 / 1
LCM(803,806) = 647218
Properties of LCM 803 and 806
(i) The LCM of 806 and 803 is associative
LCM of 803 and 806 = LCM of 806 and 803
Related Least Common Multiples of 803
Related Least Common Multiples of 806
Frequently Asked Questions on LCM of 803 and 806
1. What is the LCM of 803 and 806?
Answer: LCM of 803 and 806 is 647218.
2. What are the Factors of 803?
Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.
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 803 and 806?
Answer:
Least Common Multiple of 803 and 806 = 647218
Step 1: Find the prime factorization of 803
803 = 11 x 73
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 = 647218 = 2 x 11 x 13 x 31 x 73
Step 4: Therefore, the least common multiple of 803 and 806 is 647218.
