Least Common Multiple of 7857 and 7859
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7857 and 7859 the smallest integer that is 61748163 that is divisible by both numbers.
Least Common Multiple (LCM) of 7857 and 7859 is 61748163.
LCM(7857,7859) = 61748163
LCM of 7857 and 7859
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7857 and 7859 by Prime method
- Least Common Multiple of 7857 and 7859 with GCF Formula
LCM of 7857 and 7859 is 61748163
Least common multiple can be found by multiplying the highest exponent prime factors of 7857 and 7859. First we will calculate the prime factors of 7857 and 7859.
Prime Factorization of 7857
| 3 | 7857 |
| 3 | 2619 |
| 3 | 873 |
| 3 | 291 |
| 97 | 97 |
| 1 |
Prime factors of 7857 are 3,97. Prime factorization of 7857 in exponential form is:
7857 = 34×971
Prime Factorization of 7859
| 29 | 7859 |
| 271 | 271 |
| 1 |
Prime factors of 7859 are 29,271. Prime factorization of 7859 in exponential form is:
7859 = 291×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 7857 and 7859.
LCM(7857,7859) = 34×291×971×2711
LCM(7857,7859) = 61748163
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
Factors of 7859
List of positive integer factors of 7859 that divides 7859 without a remainder.
1, 29, 271, 7859
Least Common Multiple of 7857 and 7859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7857 and 7859, than apply into the LCM equation.
GCF(7857,7859) = 1
LCM(7857,7859) = ( 7857 × 7859) / 1
LCM(7857,7859) = 61748163 / 1
LCM(7857,7859) = 61748163
Properties of LCM 7857 and 7859
(i) The LCM of 7859 and 7857 is associative
LCM of 7857 and 7859 = LCM of 7859 and 7857
Related Least Common Multiples of 7857
Related Least Common Multiples of 7859
Frequently Asked Questions on LCM of 7857 and 7859
1. What is the LCM of 7857 and 7859?
Answer: LCM of 7857 and 7859 is 61748163.
2. What are the Factors of 7857?
Answer: Factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857. There are 10 integers that are factors of 7857. The greatest factor of 7857 is 7857.
3. What are the Factors of 7859?
Answer: Factors of 7859 are 1, 29, 271, 7859. There are 4 integers that are factors of 7859. The greatest factor of 7859 is 7859.
4. How to Find the LCM of 7857 and 7859?
Answer:
Least Common Multiple of 7857 and 7859 = 61748163
Step 1: Find the prime factorization of 7857
7857 = 3 x 3 x 3 x 3 x 97
Step 2: Find the prime factorization of 7859
7859 = 29 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61748163 = 3 x 3 x 3 x 3 x 29 x 97 x 271
Step 4: Therefore, the least common multiple of 7857 and 7859 is 61748163.