Least Common Multiple of 798 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 798 and 803 the smallest integer that is 640794 that is divisible by both numbers.
Least Common Multiple (LCM) of 798 and 803 is 640794.
LCM(798,803) = 640794
LCM of 798 and 803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 798 and 803 by Prime method
- Least Common Multiple of 798 and 803 with GCF Formula
LCM of 798 and 803 is 640794
Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 803. First we will calculate the prime factors of 798 and 803.
Prime Factorization of 798
| 2 | 798 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:
798 = 21×31×71×191
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 798 and 803.
LCM(798,803) = 21×31×71×111×191×731
LCM(798,803) = 640794
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Least Common Multiple of 798 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 798 and 803, than apply into the LCM equation.
GCF(798,803) = 1
LCM(798,803) = ( 798 × 803) / 1
LCM(798,803) = 640794 / 1
LCM(798,803) = 640794
Properties of LCM 798 and 803
(i) The LCM of 803 and 798 is associative
LCM of 798 and 803 = LCM of 803 and 798
Related Least Common Multiples of 798
Related Least Common Multiples of 803
Frequently Asked Questions on LCM of 798 and 803
1. What is the LCM of 798 and 803?
Answer: LCM of 798 and 803 is 640794.
2. What are the Factors of 798?
Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.
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 798 and 803?
Answer:
Least Common Multiple of 798 and 803 = 640794
Step 1: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
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 = 640794 = 2 x 3 x 7 x 11 x 19 x 73
Step 4: Therefore, the least common multiple of 798 and 803 is 640794.
