Least Common Multiple of 789 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 789 and 793 the smallest integer that is 625677 that is divisible by both numbers.
Least Common Multiple (LCM) of 789 and 793 is 625677.
LCM(789,793) = 625677
LCM of 789 and 793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 789 and 793 by Prime method
- Least Common Multiple of 789 and 793 with GCF Formula
LCM of 789 and 793 is 625677
Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 793. First we will calculate the prime factors of 789 and 793.
Prime Factorization of 789
| 3 | 789 |
| 263 | 263 |
| 1 |
Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:
789 = 31×2631
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 789 and 793.
LCM(789,793) = 31×131×611×2631
LCM(789,793) = 625677
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Least Common Multiple of 789 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 789 and 793, than apply into the LCM equation.
GCF(789,793) = 1
LCM(789,793) = ( 789 × 793) / 1
LCM(789,793) = 625677 / 1
LCM(789,793) = 625677
Properties of LCM 789 and 793
(i) The LCM of 793 and 789 is associative
LCM of 789 and 793 = LCM of 793 and 789
Related Least Common Multiples of 789
Related Least Common Multiples of 793
Frequently Asked Questions on LCM of 789 and 793
1. What is the LCM of 789 and 793?
Answer: LCM of 789 and 793 is 625677.
2. What are the Factors of 789?
Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.
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 789 and 793?
Answer:
Least Common Multiple of 789 and 793 = 625677
Step 1: Find the prime factorization of 789
789 = 3 x 263
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 = 625677 = 3 x 13 x 61 x 263
Step 4: Therefore, the least common multiple of 789 and 793 is 625677.