Least Common Multiple of 7849 and 7857
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7849 and 7857 the smallest integer that is 61669593 that is divisible by both numbers.
Least Common Multiple (LCM) of 7849 and 7857 is 61669593.
LCM(7849,7857) = 61669593
LCM of 7849 and 7857
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7849 and 7857 by Prime method
- Least Common Multiple of 7849 and 7857 with GCF Formula
LCM of 7849 and 7857 is 61669593
Least common multiple can be found by multiplying the highest exponent prime factors of 7849 and 7857. First we will calculate the prime factors of 7849 and 7857.
Prime Factorization of 7849
| 47 | 7849 |
| 167 | 167 |
| 1 |
Prime factors of 7849 are 47,167. Prime factorization of 7849 in exponential form is:
7849 = 471×1671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7849 and 7857.
LCM(7849,7857) = 34×471×971×1671
LCM(7849,7857) = 61669593
Factors of 7849
List of positive integer factors of 7849 that divides 7849 without a remainder.
1, 47, 167, 7849
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
Least Common Multiple of 7849 and 7857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7849 and 7857, than apply into the LCM equation.
GCF(7849,7857) = 1
LCM(7849,7857) = ( 7849 × 7857) / 1
LCM(7849,7857) = 61669593 / 1
LCM(7849,7857) = 61669593
Properties of LCM 7849 and 7857
(i) The LCM of 7857 and 7849 is associative
LCM of 7849 and 7857 = LCM of 7857 and 7849
Related Least Common Multiples of 7849
Related Least Common Multiples of 7857
Frequently Asked Questions on LCM of 7849 and 7857
1. What is the LCM of 7849 and 7857?
Answer: LCM of 7849 and 7857 is 61669593.
2. What are the Factors of 7849?
Answer: Factors of 7849 are 1, 47, 167, 7849. There are 4 integers that are factors of 7849. The greatest factor of 7849 is 7849.
3. 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.
4. How to Find the LCM of 7849 and 7857?
Answer:
Least Common Multiple of 7849 and 7857 = 61669593
Step 1: Find the prime factorization of 7849
7849 = 47 x 167
Step 2: Find the prime factorization of 7857
7857 = 3 x 3 x 3 x 3 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61669593 = 3 x 3 x 3 x 3 x 47 x 97 x 167
Step 4: Therefore, the least common multiple of 7849 and 7857 is 61669593.