Least Common Multiple of 791 and 793
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 793 the smallest integer that is 627263 that is divisible by both numbers.
Least Common Multiple (LCM) of 791 and 793 is 627263.
LCM(791,793) = 627263
LCM of 791 and 793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 791 and 793 by Prime method
- Least Common Multiple of 791 and 793 with GCF Formula
LCM of 791 and 793 is 627263
Least common multiple can be found by multiplying the highest exponent prime factors of 791 and 793. First we will calculate the prime factors of 791 and 793.
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 793
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:
793 = 131×611
Now multiplying the highest exponent prime factors to calculate the LCM of 791 and 793.
LCM(791,793) = 71×131×611×1131
LCM(791,793) = 627263
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Least Common Multiple of 791 and 793 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 793, than apply into the LCM equation.
GCF(791,793) = 1
LCM(791,793) = ( 791 × 793) / 1
LCM(791,793) = 627263 / 1
LCM(791,793) = 627263
Properties of LCM 791 and 793
(i) The LCM of 793 and 791 is associative
LCM of 791 and 793 = LCM of 793 and 791
Related Least Common Multiples of 791
Related Least Common Multiples of 793
Frequently Asked Questions on LCM of 791 and 793
1. What is the LCM of 791 and 793?
Answer: LCM of 791 and 793 is 627263.
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 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.
4. How to Find the LCM of 791 and 793?
Answer:
Least Common Multiple of 791 and 793 = 627263
Step 1: Find the prime factorization of 791
791 = 7 x 113
Step 2: Find the prime factorization of 793
793 = 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 627263 = 7 x 13 x 61 x 113
Step 4: Therefore, the least common multiple of 791 and 793 is 627263.
