Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9958 and 9964 the smallest integer that is 49610756 that is divisible by both numbers.
Least Common Multiple (LCM) of 9958 and 9964 is 49610756.
LCM(9958,9964) = 49610756
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 9958 and 9964. First we will calculate the prime factors of 9958 and 9964.
Prime Factorization of 9958
2 | 9958 |
13 | 4979 |
383 | 383 |
1 |
Prime factors of 9958 are 2, 13,383. Prime factorization of 9958 in exponential form is:
9958 = 21×131×3831
Prime Factorization of 9964
2 | 9964 |
2 | 4982 |
47 | 2491 |
53 | 53 |
1 |
Prime factors of 9964 are 2, 47,53. Prime factorization of 9964 in exponential form is:
9964 = 22×471×531
Now multiplying the highest exponent prime factors to calculate the LCM of 9958 and 9964.
LCM(9958,9964) = 22×131×471×531×3831
LCM(9958,9964) = 49610756
Factors of 9958
List of positive integer factors of 9958 that divides 9958 without a remainder.
1, 2, 13, 26, 383, 766, 4979, 9958
Factors of 9964
List of positive integer factors of 9964 that divides 9964 without a remainder.
1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9958 and 9964, than apply into the LCM equation.
GCF(9958,9964) = 2
LCM(9958,9964) = ( 9958 × 9964) / 2
LCM(9958,9964) = 99221512 / 2
LCM(9958,9964) = 49610756
(i) The LCM of 9964 and 9958 is associative
LCM of 9958 and 9964 = LCM of 9964 and 9958
1. What is the LCM of 9958 and 9964?
Answer: LCM of 9958 and 9964 is 49610756.
2. What are the Factors of 9958?
Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.
3. What are the Factors of 9964?
Answer: Factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. There are 12 integers that are factors of 9964. The greatest factor of 9964 is 9964.
4. How to Find the LCM of 9958 and 9964?
Answer:
Least Common Multiple of 9958 and 9964 = 49610756
Step 1: Find the prime factorization of 9958
9958 = 2 x 13 x 383
Step 2: Find the prime factorization of 9964
9964 = 2 x 2 x 47 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49610756 = 2 x 2 x 13 x 47 x 53 x 383
Step 4: Therefore, the least common multiple of 9958 and 9964 is 49610756.