Least Common Multiple of 785 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 785 and 793 the smallest integer that is 622505 that is divisible by both numbers.
Least Common Multiple (LCM) of 785 and 793 is 622505.
LCM(785,793) = 622505
LCM of 785 and 793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 785 and 793 by Prime method
- Least Common Multiple of 785 and 793 with GCF Formula
LCM of 785 and 793 is 622505
Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 793. First we will calculate the prime factors of 785 and 793.
Prime Factorization of 785
| 5 | 785 |
| 157 | 157 |
| 1 |
Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:
785 = 51×1571
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 785 and 793.
LCM(785,793) = 51×131×611×1571
LCM(785,793) = 622505
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Least Common Multiple of 785 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 785 and 793, than apply into the LCM equation.
GCF(785,793) = 1
LCM(785,793) = ( 785 × 793) / 1
LCM(785,793) = 622505 / 1
LCM(785,793) = 622505
Properties of LCM 785 and 793
(i) The LCM of 793 and 785 is associative
LCM of 785 and 793 = LCM of 793 and 785
Related Least Common Multiples of 785
Related Least Common Multiples of 793
Frequently Asked Questions on LCM of 785 and 793
1. What is the LCM of 785 and 793?
Answer: LCM of 785 and 793 is 622505.
2. What are the Factors of 785?
Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.
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 785 and 793?
Answer:
Least Common Multiple of 785 and 793 = 622505
Step 1: Find the prime factorization of 785
785 = 5 x 157
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 = 622505 = 5 x 13 x 61 x 157
Step 4: Therefore, the least common multiple of 785 and 793 is 622505.