Least Common Multiple of 9443 and 9451
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9443 and 9451 the smallest integer that is 89245793 that is divisible by both numbers.
Least Common Multiple (LCM) of 9443 and 9451 is 89245793.
LCM(9443,9451) = 89245793
LCM of 9443 and 9451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9443 and 9451 by Prime method
- Least Common Multiple of 9443 and 9451 with GCF Formula
LCM of 9443 and 9451 is 89245793
Least common multiple can be found by multiplying the highest exponent prime factors of 9443 and 9451. First we will calculate the prime factors of 9443 and 9451.
Prime Factorization of 9443
| 7 | 9443 |
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 9443 are 7, 19,71. Prime factorization of 9443 in exponential form is:
9443 = 71×191×711
Prime Factorization of 9451
| 13 | 9451 |
| 727 | 727 |
| 1 |
Prime factors of 9451 are 13,727. Prime factorization of 9451 in exponential form is:
9451 = 131×7271
Now multiplying the highest exponent prime factors to calculate the LCM of 9443 and 9451.
LCM(9443,9451) = 71×131×191×711×7271
LCM(9443,9451) = 89245793
Factors of 9443
List of positive integer factors of 9443 that divides 9443 without a remainder.
1, 7, 19, 71, 133, 497, 1349, 9443
Factors of 9451
List of positive integer factors of 9451 that divides 9451 without a remainder.
1, 13, 727, 9451
Least Common Multiple of 9443 and 9451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9443 and 9451, than apply into the LCM equation.
GCF(9443,9451) = 1
LCM(9443,9451) = ( 9443 × 9451) / 1
LCM(9443,9451) = 89245793 / 1
LCM(9443,9451) = 89245793
Properties of LCM 9443 and 9451
(i) The LCM of 9451 and 9443 is associative
LCM of 9443 and 9451 = LCM of 9451 and 9443
Related Least Common Multiples of 9443
Related Least Common Multiples of 9451
Frequently Asked Questions on LCM of 9443 and 9451
1. What is the LCM of 9443 and 9451?
Answer: LCM of 9443 and 9451 is 89245793.
2. What are the Factors of 9443?
Answer: Factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443. There are 8 integers that are factors of 9443. The greatest factor of 9443 is 9443.
3. What are the Factors of 9451?
Answer: Factors of 9451 are 1, 13, 727, 9451. There are 4 integers that are factors of 9451. The greatest factor of 9451 is 9451.
4. How to Find the LCM of 9443 and 9451?
Answer:
Least Common Multiple of 9443 and 9451 = 89245793
Step 1: Find the prime factorization of 9443
9443 = 7 x 19 x 71
Step 2: Find the prime factorization of 9451
9451 = 13 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89245793 = 7 x 13 x 19 x 71 x 727
Step 4: Therefore, the least common multiple of 9443 and 9451 is 89245793.