Least Common Multiple of 795 and 803
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 795 and 803 the smallest integer that is 638385 that is divisible by both numbers.
Least Common Multiple (LCM) of 795 and 803 is 638385.
LCM(795,803) = 638385
LCM of 795 and 803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 795 and 803 by Prime method
- Least Common Multiple of 795 and 803 with GCF Formula
LCM of 795 and 803 is 638385
Least common multiple can be found by multiplying the highest exponent prime factors of 795 and 803. First we will calculate the prime factors of 795 and 803.
Prime Factorization of 795
| 3 | 795 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:
795 = 31×51×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 795 and 803.
LCM(795,803) = 31×51×111×531×731
LCM(795,803) = 638385
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Least Common Multiple of 795 and 803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 795 and 803, than apply into the LCM equation.
GCF(795,803) = 1
LCM(795,803) = ( 795 × 803) / 1
LCM(795,803) = 638385 / 1
LCM(795,803) = 638385
Properties of LCM 795 and 803
(i) The LCM of 803 and 795 is associative
LCM of 795 and 803 = LCM of 803 and 795
Related Least Common Multiples of 795
Related Least Common Multiples of 803
Frequently Asked Questions on LCM of 795 and 803
1. What is the LCM of 795 and 803?
Answer: LCM of 795 and 803 is 638385.
2. What are the Factors of 795?
Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.
3. 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.
4. How to Find the LCM of 795 and 803?
Answer:
Least Common Multiple of 795 and 803 = 638385
Step 1: Find the prime factorization of 795
795 = 3 x 5 x 53
Step 2: Find the prime factorization of 803
803 = 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 638385 = 3 x 5 x 11 x 53 x 73
Step 4: Therefore, the least common multiple of 795 and 803 is 638385.