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 9848 the smallest integer that is 96973256 that is divisible by both numbers.
Least Common Multiple (LCM) of 9847 and 9848 is 96973256.
LCM(9847,9848) = 96973256
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 9848. First we will calculate the prime factors of 9847 and 9848.
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 9848
2 | 9848 |
2 | 4924 |
2 | 2462 |
1231 | 1231 |
1 |
Prime factors of 9848 are 2,1231. Prime factorization of 9848 in exponential form is:
9848 = 23×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 9847 and 9848.
LCM(9847,9848) = 23×431×2291×12311
LCM(9847,9848) = 96973256
Factors of 9847
List of positive integer factors of 9847 that divides 9847 without a remainder.
1, 43, 229, 9847
Factors of 9848
List of positive integer factors of 9848 that divides 9848 without a remainder.
1, 2, 4, 8, 1231, 2462, 4924, 9848
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9847 and 9848, than apply into the LCM equation.
GCF(9847,9848) = 1
LCM(9847,9848) = ( 9847 × 9848) / 1
LCM(9847,9848) = 96973256 / 1
LCM(9847,9848) = 96973256
(i) The LCM of 9848 and 9847 is associative
LCM of 9847 and 9848 = LCM of 9848 and 9847
1. What is the LCM of 9847 and 9848?
Answer: LCM of 9847 and 9848 is 96973256.
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 9848?
Answer: Factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848. There are 8 integers that are factors of 9848. The greatest factor of 9848 is 9848.
4. How to Find the LCM of 9847 and 9848?
Answer:
Least Common Multiple of 9847 and 9848 = 96973256
Step 1: Find the prime factorization of 9847
9847 = 43 x 229
Step 2: Find the prime factorization of 9848
9848 = 2 x 2 x 2 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96973256 = 2 x 2 x 2 x 43 x 229 x 1231
Step 4: Therefore, the least common multiple of 9847 and 9848 is 96973256.