Least Common Multiple of 9449 and 9454
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 9454 the smallest integer that is 89330846 that is divisible by both numbers.
Least Common Multiple (LCM) of 9449 and 9454 is 89330846.
LCM(9449,9454) = 89330846
LCM of 9449 and 9454
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9449 and 9454 by Prime method
- Least Common Multiple of 9449 and 9454 with GCF Formula
LCM of 9449 and 9454 is 89330846
Least common multiple can be found by multiplying the highest exponent prime factors of 9449 and 9454. First we will calculate the prime factors of 9449 and 9454.
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 9454
| 2 | 9454 |
| 29 | 4727 |
| 163 | 163 |
| 1 |
Prime factors of 9454 are 2, 29,163. Prime factorization of 9454 in exponential form is:
9454 = 21×291×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 9449 and 9454.
LCM(9449,9454) = 21×111×291×1631×8591
LCM(9449,9454) = 89330846
Factors of 9449
List of positive integer factors of 9449 that divides 9449 without a remainder.
1, 11, 859, 9449
Factors of 9454
List of positive integer factors of 9454 that divides 9454 without a remainder.
1, 2, 29, 58, 163, 326, 4727, 9454
Least Common Multiple of 9449 and 9454 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 9454, than apply into the LCM equation.
GCF(9449,9454) = 1
LCM(9449,9454) = ( 9449 × 9454) / 1
LCM(9449,9454) = 89330846 / 1
LCM(9449,9454) = 89330846
Properties of LCM 9449 and 9454
(i) The LCM of 9454 and 9449 is associative
LCM of 9449 and 9454 = LCM of 9454 and 9449
Related Least Common Multiples of 9449
Related Least Common Multiples of 9454
Frequently Asked Questions on LCM of 9449 and 9454
1. What is the LCM of 9449 and 9454?
Answer: LCM of 9449 and 9454 is 89330846.
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 9454?
Answer: Factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454. There are 8 integers that are factors of 9454. The greatest factor of 9454 is 9454.
4. How to Find the LCM of 9449 and 9454?
Answer:
Least Common Multiple of 9449 and 9454 = 89330846
Step 1: Find the prime factorization of 9449
9449 = 11 x 859
Step 2: Find the prime factorization of 9454
9454 = 2 x 29 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89330846 = 2 x 11 x 29 x 163 x 859
Step 4: Therefore, the least common multiple of 9449 and 9454 is 89330846.