Least Common Multiple of 794 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 794 and 799 the smallest integer that is 634406 that is divisible by both numbers.
Least Common Multiple (LCM) of 794 and 799 is 634406.
LCM(794,799) = 634406
LCM of 794 and 799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 794 and 799 by Prime method
- Least Common Multiple of 794 and 799 with GCF Formula
LCM of 794 and 799 is 634406
Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 799. First we will calculate the prime factors of 794 and 799.
Prime Factorization of 794
| 2 | 794 |
| 397 | 397 |
| 1 |
Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:
794 = 21×3971
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 794 and 799.
LCM(794,799) = 21×171×471×3971
LCM(794,799) = 634406
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Least Common Multiple of 794 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 794 and 799, than apply into the LCM equation.
GCF(794,799) = 1
LCM(794,799) = ( 794 × 799) / 1
LCM(794,799) = 634406 / 1
LCM(794,799) = 634406
Properties of LCM 794 and 799
(i) The LCM of 799 and 794 is associative
LCM of 794 and 799 = LCM of 799 and 794
Related Least Common Multiples of 794
Related Least Common Multiples of 799
Frequently Asked Questions on LCM of 794 and 799
1. What is the LCM of 794 and 799?
Answer: LCM of 794 and 799 is 634406.
2. What are the Factors of 794?
Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.
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 794 and 799?
Answer:
Least Common Multiple of 794 and 799 = 634406
Step 1: Find the prime factorization of 794
794 = 2 x 397
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 = 634406 = 2 x 17 x 47 x 397
Step 4: Therefore, the least common multiple of 794 and 799 is 634406.
