Least Common Multiple of 791 and 795
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 795 the smallest integer that is 628845 that is divisible by both numbers.
Least Common Multiple (LCM) of 791 and 795 is 628845.
LCM(791,795) = 628845
LCM of 791 and 795
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 791 and 795 by Prime method
- Least Common Multiple of 791 and 795 with GCF Formula
LCM of 791 and 795 is 628845
Least common multiple can be found by multiplying the highest exponent prime factors of 791 and 795. First we will calculate the prime factors of 791 and 795.
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 795
| 3 | 795 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:
795 = 31×51×531
Now multiplying the highest exponent prime factors to calculate the LCM of 791 and 795.
LCM(791,795) = 31×51×71×531×1131
LCM(791,795) = 628845
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Least Common Multiple of 791 and 795 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 795, than apply into the LCM equation.
GCF(791,795) = 1
LCM(791,795) = ( 791 × 795) / 1
LCM(791,795) = 628845 / 1
LCM(791,795) = 628845
Properties of LCM 791 and 795
(i) The LCM of 795 and 791 is associative
LCM of 791 and 795 = LCM of 795 and 791
Related Least Common Multiples of 791
Related Least Common Multiples of 795
Frequently Asked Questions on LCM of 791 and 795
1. What is the LCM of 791 and 795?
Answer: LCM of 791 and 795 is 628845.
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 795?
Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.
4. How to Find the LCM of 791 and 795?
Answer:
Least Common Multiple of 791 and 795 = 628845
Step 1: Find the prime factorization of 791
791 = 7 x 113
Step 2: Find the prime factorization of 795
795 = 3 x 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 628845 = 3 x 5 x 7 x 53 x 113
Step 4: Therefore, the least common multiple of 791 and 795 is 628845.