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 9851 the smallest integer that is 97002797 that is divisible by both numbers.
Least Common Multiple (LCM) of 9847 and 9851 is 97002797.
LCM(9847,9851) = 97002797
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9847 and 9851. First we will calculate the prime factors of 9847 and 9851.
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 9851
9851 | 9851 |
1 |
Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:
9851 = 98511
Now multiplying the highest exponent prime factors to calculate the LCM of 9847 and 9851.
LCM(9847,9851) = 431×2291×98511
LCM(9847,9851) = 97002797
Factors of 9847
List of positive integer factors of 9847 that divides 9847 without a remainder.
1, 43, 229, 9847
Factors of 9851
List of positive integer factors of 9851 that divides 9851 without a remainder.
1, 9851
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9847 and 9851, than apply into the LCM equation.
GCF(9847,9851) = 1
LCM(9847,9851) = ( 9847 × 9851) / 1
LCM(9847,9851) = 97002797 / 1
LCM(9847,9851) = 97002797
(i) The LCM of 9851 and 9847 is associative
LCM of 9847 and 9851 = LCM of 9851 and 9847
1. What is the LCM of 9847 and 9851?
Answer: LCM of 9847 and 9851 is 97002797.
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 9851?
Answer: Factors of 9851 are 1, 9851. There are 2 integers that are factors of 9851. The greatest factor of 9851 is 9851.
4. How to Find the LCM of 9847 and 9851?
Answer:
Least Common Multiple of 9847 and 9851 = 97002797
Step 1: Find the prime factorization of 9847
9847 = 43 x 229
Step 2: Find the prime factorization of 9851
9851 = 9851
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97002797 = 43 x 229 x 9851
Step 4: Therefore, the least common multiple of 9847 and 9851 is 97002797.