Least Common Multiple of 9847 and 9855
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9847 and 9855 the smallest integer that is 97042185 that is divisible by both numbers.
Least Common Multiple (LCM) of 9847 and 9855 is 97042185.
LCM(9847,9855) = 97042185
LCM of 9847 and 9855
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9847 and 9855 by Prime method
- Least Common Multiple of 9847 and 9855 with GCF Formula
LCM of 9847 and 9855 is 97042185
Least common multiple can be found by multiplying the highest exponent prime factors of 9847 and 9855. First we will calculate the prime factors of 9847 and 9855.
Prime Factorization of 9847
| 43 | 9847 |
| 229 | 229 |
| 1 |
Prime factors of 9847 are 43,229. Prime factorization of 9847 in exponential form is:
9847 = 431×2291
Prime Factorization of 9855
| 3 | 9855 |
| 3 | 3285 |
| 3 | 1095 |
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 9855 are 3, 5,73. Prime factorization of 9855 in exponential form is:
9855 = 33×51×731
Now multiplying the highest exponent prime factors to calculate the LCM of 9847 and 9855.
LCM(9847,9855) = 33×51×431×731×2291
LCM(9847,9855) = 97042185
Factors of 9847
List of positive integer factors of 9847 that divides 9847 without a remainder.
1, 43, 229, 9847
Factors of 9855
List of positive integer factors of 9855 that divides 9855 without a remainder.
1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
Least Common Multiple of 9847 and 9855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9847 and 9855, than apply into the LCM equation.
GCF(9847,9855) = 1
LCM(9847,9855) = ( 9847 × 9855) / 1
LCM(9847,9855) = 97042185 / 1
LCM(9847,9855) = 97042185
Properties of LCM 9847 and 9855
(i) The LCM of 9855 and 9847 is associative
LCM of 9847 and 9855 = LCM of 9855 and 9847
Related Least Common Multiples of 9847
Related Least Common Multiples of 9855
Frequently Asked Questions on LCM of 9847 and 9855
1. What is the LCM of 9847 and 9855?
Answer: LCM of 9847 and 9855 is 97042185.
2. What are the Factors of 9847?
Answer: Factors of 9847 are 1, 43, 229, 9847. There are 4 integers that are factors of 9847. The greatest factor of 9847 is 9847.
3. What are the Factors of 9855?
Answer: Factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855. There are 16 integers that are factors of 9855. The greatest factor of 9855 is 9855.
4. How to Find the LCM of 9847 and 9855?
Answer:
Least Common Multiple of 9847 and 9855 = 97042185
Step 1: Find the prime factorization of 9847
9847 = 43 x 229
Step 2: Find the prime factorization of 9855
9855 = 3 x 3 x 3 x 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97042185 = 3 x 3 x 3 x 5 x 43 x 73 x 229
Step 4: Therefore, the least common multiple of 9847 and 9855 is 97042185.