Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9918 and 9925 the smallest integer that is 98436150 that is divisible by both numbers.
Least Common Multiple (LCM) of 9918 and 9925 is 98436150.
LCM(9918,9925) = 98436150
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 9918 and 9925. First we will calculate the prime factors of 9918 and 9925.
Prime Factorization of 9918
2 | 9918 |
3 | 4959 |
3 | 1653 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 9918 are 2, 3, 19,29. Prime factorization of 9918 in exponential form is:
9918 = 21×32×191×291
Prime Factorization of 9925
5 | 9925 |
5 | 1985 |
397 | 397 |
1 |
Prime factors of 9925 are 5,397. Prime factorization of 9925 in exponential form is:
9925 = 52×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 9918 and 9925.
LCM(9918,9925) = 21×32×52×191×291×3971
LCM(9918,9925) = 98436150
Factors of 9918
List of positive integer factors of 9918 that divides 9918 without a remainder.
1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
Factors of 9925
List of positive integer factors of 9925 that divides 9925 without a remainder.
1, 5, 25, 397, 1985, 9925
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9918 and 9925, than apply into the LCM equation.
GCF(9918,9925) = 1
LCM(9918,9925) = ( 9918 × 9925) / 1
LCM(9918,9925) = 98436150 / 1
LCM(9918,9925) = 98436150
(i) The LCM of 9925 and 9918 is associative
LCM of 9918 and 9925 = LCM of 9925 and 9918
1. What is the LCM of 9918 and 9925?
Answer: LCM of 9918 and 9925 is 98436150.
2. What are the Factors of 9918?
Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.
3. What are the Factors of 9925?
Answer: Factors of 9925 are 1, 5, 25, 397, 1985, 9925. There are 6 integers that are factors of 9925. The greatest factor of 9925 is 9925.
4. How to Find the LCM of 9918 and 9925?
Answer:
Least Common Multiple of 9918 and 9925 = 98436150
Step 1: Find the prime factorization of 9918
9918 = 2 x 3 x 3 x 19 x 29
Step 2: Find the prime factorization of 9925
9925 = 5 x 5 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98436150 = 2 x 3 x 3 x 5 x 5 x 19 x 29 x 397
Step 4: Therefore, the least common multiple of 9918 and 9925 is 98436150.