Least Common Multiple of 799 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 799 and 803 the smallest integer that is 641597 that is divisible by both numbers.
Least Common Multiple (LCM) of 799 and 803 is 641597.
LCM(799,803) = 641597
LCM of 799 and 803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 799 and 803 by Prime method
- Least Common Multiple of 799 and 803 with GCF Formula
LCM of 799 and 803 is 641597
Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 803. First we will calculate the prime factors of 799 and 803.
Prime Factorization of 799
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:
799 = 171×471
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 799 and 803.
LCM(799,803) = 111×171×471×731
LCM(799,803) = 641597
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Least Common Multiple of 799 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 799 and 803, than apply into the LCM equation.
GCF(799,803) = 1
LCM(799,803) = ( 799 × 803) / 1
LCM(799,803) = 641597 / 1
LCM(799,803) = 641597
Properties of LCM 799 and 803
(i) The LCM of 803 and 799 is associative
LCM of 799 and 803 = LCM of 803 and 799
Related Least Common Multiples of 799
Related Least Common Multiples of 803
Frequently Asked Questions on LCM of 799 and 803
1. What is the LCM of 799 and 803?
Answer: LCM of 799 and 803 is 641597.
2. What are the Factors of 799?
Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.
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 799 and 803?
Answer:
Least Common Multiple of 799 and 803 = 641597
Step 1: Find the prime factorization of 799
799 = 17 x 47
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 = 641597 = 11 x 17 x 47 x 73
Step 4: Therefore, the least common multiple of 799 and 803 is 641597.
