Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9897 and 9898 the smallest integer that is 97960506 that is divisible by both numbers.
Least Common Multiple (LCM) of 9897 and 9898 is 97960506.
LCM(9897,9898) = 97960506
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 9897 and 9898. First we will calculate the prime factors of 9897 and 9898.
Prime Factorization of 9897
3 | 9897 |
3299 | 3299 |
1 |
Prime factors of 9897 are 3,3299. Prime factorization of 9897 in exponential form is:
9897 = 31×32991
Prime Factorization of 9898
2 | 9898 |
7 | 4949 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 9898 are 2, 7,101. Prime factorization of 9898 in exponential form is:
9898 = 21×72×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 9897 and 9898.
LCM(9897,9898) = 21×31×72×1011×32991
LCM(9897,9898) = 97960506
Factors of 9897
List of positive integer factors of 9897 that divides 9897 without a remainder.
1, 3, 3299, 9897
Factors of 9898
List of positive integer factors of 9898 that divides 9898 without a remainder.
1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9897 and 9898, than apply into the LCM equation.
GCF(9897,9898) = 1
LCM(9897,9898) = ( 9897 × 9898) / 1
LCM(9897,9898) = 97960506 / 1
LCM(9897,9898) = 97960506
(i) The LCM of 9898 and 9897 is associative
LCM of 9897 and 9898 = LCM of 9898 and 9897
1. What is the LCM of 9897 and 9898?
Answer: LCM of 9897 and 9898 is 97960506.
2. What are the Factors of 9897?
Answer: Factors of 9897 are 1, 3, 3299, 9897. There are 4 integers that are factors of 9897. The greatest factor of 9897 is 9897.
3. What are the Factors of 9898?
Answer: Factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898. There are 12 integers that are factors of 9898. The greatest factor of 9898 is 9898.
4. How to Find the LCM of 9897 and 9898?
Answer:
Least Common Multiple of 9897 and 9898 = 97960506
Step 1: Find the prime factorization of 9897
9897 = 3 x 3299
Step 2: Find the prime factorization of 9898
9898 = 2 x 7 x 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97960506 = 2 x 3 x 7 x 7 x 101 x 3299
Step 4: Therefore, the least common multiple of 9897 and 9898 is 97960506.