Least Common Multiple of 9449 and 9453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9449 and 9453 the smallest integer that is 89321397 that is divisible by both numbers.
Least Common Multiple (LCM) of 9449 and 9453 is 89321397.
LCM(9449,9453) = 89321397
LCM of 9449 and 9453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9449 and 9453 by Prime method
- Least Common Multiple of 9449 and 9453 with GCF Formula
LCM of 9449 and 9453 is 89321397
Least common multiple can be found by multiplying the highest exponent prime factors of 9449 and 9453. First we will calculate the prime factors of 9449 and 9453.
Prime Factorization of 9449
| 11 | 9449 |
| 859 | 859 |
| 1 |
Prime factors of 9449 are 11,859. Prime factorization of 9449 in exponential form is:
9449 = 111×8591
Prime Factorization of 9453
| 3 | 9453 |
| 23 | 3151 |
| 137 | 137 |
| 1 |
Prime factors of 9453 are 3, 23,137. Prime factorization of 9453 in exponential form is:
9453 = 31×231×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 9449 and 9453.
LCM(9449,9453) = 31×111×231×1371×8591
LCM(9449,9453) = 89321397
Factors of 9449
List of positive integer factors of 9449 that divides 9449 without a remainder.
1, 11, 859, 9449
Factors of 9453
List of positive integer factors of 9453 that divides 9453 without a remainder.
1, 3, 23, 69, 137, 411, 3151, 9453
Least Common Multiple of 9449 and 9453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9449 and 9453, than apply into the LCM equation.
GCF(9449,9453) = 1
LCM(9449,9453) = ( 9449 × 9453) / 1
LCM(9449,9453) = 89321397 / 1
LCM(9449,9453) = 89321397
Properties of LCM 9449 and 9453
(i) The LCM of 9453 and 9449 is associative
LCM of 9449 and 9453 = LCM of 9453 and 9449
Related Least Common Multiples of 9449
Related Least Common Multiples of 9453
Frequently Asked Questions on LCM of 9449 and 9453
1. What is the LCM of 9449 and 9453?
Answer: LCM of 9449 and 9453 is 89321397.
2. What are the Factors of 9449?
Answer: Factors of 9449 are 1, 11, 859, 9449. There are 4 integers that are factors of 9449. The greatest factor of 9449 is 9449.
3. What are the Factors of 9453?
Answer: Factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453. There are 8 integers that are factors of 9453. The greatest factor of 9453 is 9453.
4. How to Find the LCM of 9449 and 9453?
Answer:
Least Common Multiple of 9449 and 9453 = 89321397
Step 1: Find the prime factorization of 9449
9449 = 11 x 859
Step 2: Find the prime factorization of 9453
9453 = 3 x 23 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89321397 = 3 x 11 x 23 x 137 x 859
Step 4: Therefore, the least common multiple of 9449 and 9453 is 89321397.
