Least Common Multiple of 791 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 791 and 799 the smallest integer that is 632009 that is divisible by both numbers.
Least Common Multiple (LCM) of 791 and 799 is 632009.
LCM(791,799) = 632009
LCM of 791 and 799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 791 and 799 by Prime method
- Least Common Multiple of 791 and 799 with GCF Formula
LCM of 791 and 799 is 632009
Least common multiple can be found by multiplying the highest exponent prime factors of 791 and 799. First we will calculate the prime factors of 791 and 799.
Prime Factorization of 791
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:
791 = 71×1131
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 791 and 799.
LCM(791,799) = 71×171×471×1131
LCM(791,799) = 632009
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Least Common Multiple of 791 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 791 and 799, than apply into the LCM equation.
GCF(791,799) = 1
LCM(791,799) = ( 791 × 799) / 1
LCM(791,799) = 632009 / 1
LCM(791,799) = 632009
Properties of LCM 791 and 799
(i) The LCM of 799 and 791 is associative
LCM of 791 and 799 = LCM of 799 and 791
Related Least Common Multiples of 791
Related Least Common Multiples of 799
Frequently Asked Questions on LCM of 791 and 799
1. What is the LCM of 791 and 799?
Answer: LCM of 791 and 799 is 632009.
2. What are the Factors of 791?
Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.
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 791 and 799?
Answer:
Least Common Multiple of 791 and 799 = 632009
Step 1: Find the prime factorization of 791
791 = 7 x 113
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 = 632009 = 7 x 17 x 47 x 113
Step 4: Therefore, the least common multiple of 791 and 799 is 632009.
