Least Common Multiple of 9953 and 9958
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9953 and 9958 the smallest integer that is 99111974 that is divisible by both numbers.
Least Common Multiple (LCM) of 9953 and 9958 is 99111974.
LCM(9953,9958) = 99111974
LCM of 9953 and 9958
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9953 and 9958 by Prime method
- Least Common Multiple of 9953 and 9958 with GCF Formula
LCM of 9953 and 9958 is 99111974
Least common multiple can be found by multiplying the highest exponent prime factors of 9953 and 9958. First we will calculate the prime factors of 9953 and 9958.
Prime Factorization of 9953
| 37 | 9953 |
| 269 | 269 |
| 1 |
Prime factors of 9953 are 37,269. Prime factorization of 9953 in exponential form is:
9953 = 371×2691
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9953 and 9958.
LCM(9953,9958) = 21×131×371×2691×3831
LCM(9953,9958) = 99111974
Factors of 9953
List of positive integer factors of 9953 that divides 9953 without a remainder.
1, 37, 269, 9953
Factors of 9958
List of positive integer factors of 9958 that divides 9958 without a remainder.
1, 2, 13, 26, 383, 766, 4979, 9958
Least Common Multiple of 9953 and 9958 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9953 and 9958, than apply into the LCM equation.
GCF(9953,9958) = 1
LCM(9953,9958) = ( 9953 × 9958) / 1
LCM(9953,9958) = 99111974 / 1
LCM(9953,9958) = 99111974
Properties of LCM 9953 and 9958
(i) The LCM of 9958 and 9953 is associative
LCM of 9953 and 9958 = LCM of 9958 and 9953
Related Least Common Multiples of 9953
Related Least Common Multiples of 9958
Frequently Asked Questions on LCM of 9953 and 9958
1. What is the LCM of 9953 and 9958?
Answer: LCM of 9953 and 9958 is 99111974.
2. What are the Factors of 9953?
Answer: Factors of 9953 are 1, 37, 269, 9953. There are 4 integers that are factors of 9953. The greatest factor of 9953 is 9953.
3. 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.
4. How to Find the LCM of 9953 and 9958?
Answer:
Least Common Multiple of 9953 and 9958 = 99111974
Step 1: Find the prime factorization of 9953
9953 = 37 x 269
Step 2: Find the prime factorization of 9958
9958 = 2 x 13 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99111974 = 2 x 13 x 37 x 269 x 383
Step 4: Therefore, the least common multiple of 9953 and 9958 is 99111974.