Least Common Multiple of 793 and 799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 793 and 799 the smallest integer that is 633607 that is divisible by both numbers.
Least Common Multiple (LCM) of 793 and 799 is 633607.
LCM(793,799) = 633607
LCM of 793 and 799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 793 and 799 by Prime method
- Least Common Multiple of 793 and 799 with GCF Formula
LCM of 793 and 799 is 633607
Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 799. First we will calculate the prime factors of 793 and 799.
Prime Factorization of 793
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:
793 = 131×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 793 and 799.
LCM(793,799) = 131×171×471×611
LCM(793,799) = 633607
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Least Common Multiple of 793 and 799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 793 and 799, than apply into the LCM equation.
GCF(793,799) = 1
LCM(793,799) = ( 793 × 799) / 1
LCM(793,799) = 633607 / 1
LCM(793,799) = 633607
Properties of LCM 793 and 799
(i) The LCM of 799 and 793 is associative
LCM of 793 and 799 = LCM of 799 and 793
Related Least Common Multiples of 793
Related Least Common Multiples of 799
Frequently Asked Questions on LCM of 793 and 799
1. What is the LCM of 793 and 799?
Answer: LCM of 793 and 799 is 633607.
2. What are the Factors of 793?
Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.
3. 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.
4. How to Find the LCM of 793 and 799?
Answer:
Least Common Multiple of 793 and 799 = 633607
Step 1: Find the prime factorization of 793
793 = 13 x 61
Step 2: Find the prime factorization of 799
799 = 17 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 633607 = 13 x 17 x 47 x 61
Step 4: Therefore, the least common multiple of 793 and 799 is 633607.
