Least Common Multiple of 9548 and 9553
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9548 and 9553 the smallest integer that is 91212044 that is divisible by both numbers.
Least Common Multiple (LCM) of 9548 and 9553 is 91212044.
LCM(9548,9553) = 91212044
LCM of 9548 and 9553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9548 and 9553 by Prime method
- Least Common Multiple of 9548 and 9553 with GCF Formula
LCM of 9548 and 9553 is 91212044
Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9553. First we will calculate the prime factors of 9548 and 9553.
Prime Factorization of 9548
| 2 | 9548 |
| 2 | 4774 |
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 9548 are 2, 7, 11,31. Prime factorization of 9548 in exponential form is:
9548 = 22×71×111×311
Prime Factorization of 9553
| 41 | 9553 |
| 233 | 233 |
| 1 |
Prime factors of 9553 are 41,233. Prime factorization of 9553 in exponential form is:
9553 = 411×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9553.
LCM(9548,9553) = 22×71×111×311×411×2331
LCM(9548,9553) = 91212044
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
Factors of 9553
List of positive integer factors of 9553 that divides 9553 without a remainder.
1, 41, 233, 9553
Least Common Multiple of 9548 and 9553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9548 and 9553, than apply into the LCM equation.
GCF(9548,9553) = 1
LCM(9548,9553) = ( 9548 × 9553) / 1
LCM(9548,9553) = 91212044 / 1
LCM(9548,9553) = 91212044
Properties of LCM 9548 and 9553
(i) The LCM of 9553 and 9548 is associative
LCM of 9548 and 9553 = LCM of 9553 and 9548
Related Least Common Multiples of 9548
Related Least Common Multiples of 9553
Frequently Asked Questions on LCM of 9548 and 9553
1. What is the LCM of 9548 and 9553?
Answer: LCM of 9548 and 9553 is 91212044.
2. What are the Factors of 9548?
Answer: Factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548. There are 24 integers that are factors of 9548. The greatest factor of 9548 is 9548.
3. What are the Factors of 9553?
Answer: Factors of 9553 are 1, 41, 233, 9553. There are 4 integers that are factors of 9553. The greatest factor of 9553 is 9553.
4. How to Find the LCM of 9548 and 9553?
Answer:
Least Common Multiple of 9548 and 9553 = 91212044
Step 1: Find the prime factorization of 9548
9548 = 2 x 2 x 7 x 11 x 31
Step 2: Find the prime factorization of 9553
9553 = 41 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91212044 = 2 x 2 x 7 x 11 x 31 x 41 x 233
Step 4: Therefore, the least common multiple of 9548 and 9553 is 91212044.