Least Common Multiple of 7847 and 7852
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7847 and 7852 the smallest integer that is 61614644 that is divisible by both numbers.
Least Common Multiple (LCM) of 7847 and 7852 is 61614644.
LCM(7847,7852) = 61614644
LCM of 7847 and 7852
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7847 and 7852 by Prime method
- Least Common Multiple of 7847 and 7852 with GCF Formula
LCM of 7847 and 7852 is 61614644
Least common multiple can be found by multiplying the highest exponent prime factors of 7847 and 7852. First we will calculate the prime factors of 7847 and 7852.
Prime Factorization of 7847
| 7 | 7847 |
| 19 | 1121 |
| 59 | 59 |
| 1 |
Prime factors of 7847 are 7, 19,59. Prime factorization of 7847 in exponential form is:
7847 = 71×191×591
Prime Factorization of 7852
| 2 | 7852 |
| 2 | 3926 |
| 13 | 1963 |
| 151 | 151 |
| 1 |
Prime factors of 7852 are 2, 13,151. Prime factorization of 7852 in exponential form is:
7852 = 22×131×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 7847 and 7852.
LCM(7847,7852) = 22×71×131×191×591×1511
LCM(7847,7852) = 61614644
Factors of 7847
List of positive integer factors of 7847 that divides 7847 without a remainder.
1, 7, 19, 59, 133, 413, 1121, 7847
Factors of 7852
List of positive integer factors of 7852 that divides 7852 without a remainder.
1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852
Least Common Multiple of 7847 and 7852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7847 and 7852, than apply into the LCM equation.
GCF(7847,7852) = 1
LCM(7847,7852) = ( 7847 × 7852) / 1
LCM(7847,7852) = 61614644 / 1
LCM(7847,7852) = 61614644
Properties of LCM 7847 and 7852
(i) The LCM of 7852 and 7847 is associative
LCM of 7847 and 7852 = LCM of 7852 and 7847
Related Least Common Multiples of 7847
Related Least Common Multiples of 7852
Frequently Asked Questions on LCM of 7847 and 7852
1. What is the LCM of 7847 and 7852?
Answer: LCM of 7847 and 7852 is 61614644.
2. What are the Factors of 7847?
Answer: Factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847. There are 8 integers that are factors of 7847. The greatest factor of 7847 is 7847.
3. What are the Factors of 7852?
Answer: Factors of 7852 are 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852. There are 12 integers that are factors of 7852. The greatest factor of 7852 is 7852.
4. How to Find the LCM of 7847 and 7852?
Answer:
Least Common Multiple of 7847 and 7852 = 61614644
Step 1: Find the prime factorization of 7847
7847 = 7 x 19 x 59
Step 2: Find the prime factorization of 7852
7852 = 2 x 2 x 13 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61614644 = 2 x 2 x 7 x 13 x 19 x 59 x 151
Step 4: Therefore, the least common multiple of 7847 and 7852 is 61614644.