Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9925 and 9929 the smallest integer that is 98545325 that is divisible by both numbers.
Least Common Multiple (LCM) of 9925 and 9929 is 98545325.
LCM(9925,9929) = 98545325
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 9925 and 9929. First we will calculate the prime factors of 9925 and 9929.
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
Prime Factorization of 9929
9929 | 9929 |
1 |
Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:
9929 = 99291
Now multiplying the highest exponent prime factors to calculate the LCM of 9925 and 9929.
LCM(9925,9929) = 52×3971×99291
LCM(9925,9929) = 98545325
Factors of 9925
List of positive integer factors of 9925 that divides 9925 without a remainder.
1, 5, 25, 397, 1985, 9925
Factors of 9929
List of positive integer factors of 9929 that divides 9929 without a remainder.
1, 9929
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9925 and 9929, than apply into the LCM equation.
GCF(9925,9929) = 1
LCM(9925,9929) = ( 9925 × 9929) / 1
LCM(9925,9929) = 98545325 / 1
LCM(9925,9929) = 98545325
(i) The LCM of 9929 and 9925 is associative
LCM of 9925 and 9929 = LCM of 9929 and 9925
1. What is the LCM of 9925 and 9929?
Answer: LCM of 9925 and 9929 is 98545325.
2. 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.
3. What are the Factors of 9929?
Answer: Factors of 9929 are 1, 9929. There are 2 integers that are factors of 9929. The greatest factor of 9929 is 9929.
4. How to Find the LCM of 9925 and 9929?
Answer:
Least Common Multiple of 9925 and 9929 = 98545325
Step 1: Find the prime factorization of 9925
9925 = 5 x 5 x 397
Step 2: Find the prime factorization of 9929
9929 = 9929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98545325 = 5 x 5 x 397 x 9929
Step 4: Therefore, the least common multiple of 9925 and 9929 is 98545325.