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 805 the smallest integer that is 646415 that is divisible by both numbers.
Least Common Multiple (LCM) of 803 and 805 is 646415.
LCM(803,805) = 646415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 805. First we will calculate the prime factors of 803 and 805.
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 805
5 | 805 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 805 are 5, 7,23. Prime factorization of 805 in exponential form is:
805 = 51×71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 803 and 805.
LCM(803,805) = 51×71×111×231×731
LCM(803,805) = 646415
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 803 and 805, than apply into the LCM equation.
GCF(803,805) = 1
LCM(803,805) = ( 803 × 805) / 1
LCM(803,805) = 646415 / 1
LCM(803,805) = 646415
(i) The LCM of 805 and 803 is associative
LCM of 803 and 805 = LCM of 805 and 803
1. What is the LCM of 803 and 805?
Answer: LCM of 803 and 805 is 646415.
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 805?
Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.
4. How to Find the LCM of 803 and 805?
Answer:
Least Common Multiple of 803 and 805 = 646415
Step 1: Find the prime factorization of 803
803 = 11 x 73
Step 2: Find the prime factorization of 805
805 = 5 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 646415 = 5 x 7 x 11 x 23 x 73
Step 4: Therefore, the least common multiple of 803 and 805 is 646415.