Least Common Multiple of 9506 and 9509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9506 and 9509 the smallest integer that is 90392554 that is divisible by both numbers.
Least Common Multiple (LCM) of 9506 and 9509 is 90392554.
LCM(9506,9509) = 90392554
LCM of 9506 and 9509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9506 and 9509 by Prime method
- Least Common Multiple of 9506 and 9509 with GCF Formula
LCM of 9506 and 9509 is 90392554
Least common multiple can be found by multiplying the highest exponent prime factors of 9506 and 9509. First we will calculate the prime factors of 9506 and 9509.
Prime Factorization of 9506
| 2 | 9506 |
| 7 | 4753 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 9506 are 2, 7,97. Prime factorization of 9506 in exponential form is:
9506 = 21×72×971
Prime Factorization of 9509
| 37 | 9509 |
| 257 | 257 |
| 1 |
Prime factors of 9509 are 37,257. Prime factorization of 9509 in exponential form is:
9509 = 371×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 9506 and 9509.
LCM(9506,9509) = 21×72×371×971×2571
LCM(9506,9509) = 90392554
Factors of 9506
List of positive integer factors of 9506 that divides 9506 without a remainder.
1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506
Factors of 9509
List of positive integer factors of 9509 that divides 9509 without a remainder.
1, 37, 257, 9509
Least Common Multiple of 9506 and 9509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9506 and 9509, than apply into the LCM equation.
GCF(9506,9509) = 1
LCM(9506,9509) = ( 9506 × 9509) / 1
LCM(9506,9509) = 90392554 / 1
LCM(9506,9509) = 90392554
Properties of LCM 9506 and 9509
(i) The LCM of 9509 and 9506 is associative
LCM of 9506 and 9509 = LCM of 9509 and 9506
Related Least Common Multiples of 9506
Related Least Common Multiples of 9509
Frequently Asked Questions on LCM of 9506 and 9509
1. What is the LCM of 9506 and 9509?
Answer: LCM of 9506 and 9509 is 90392554.
2. What are the Factors of 9506?
Answer: Factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506. There are 12 integers that are factors of 9506. The greatest factor of 9506 is 9506.
3. What are the Factors of 9509?
Answer: Factors of 9509 are 1, 37, 257, 9509. There are 4 integers that are factors of 9509. The greatest factor of 9509 is 9509.
4. How to Find the LCM of 9506 and 9509?
Answer:
Least Common Multiple of 9506 and 9509 = 90392554
Step 1: Find the prime factorization of 9506
9506 = 2 x 7 x 7 x 97
Step 2: Find the prime factorization of 9509
9509 = 37 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90392554 = 2 x 7 x 7 x 37 x 97 x 257
Step 4: Therefore, the least common multiple of 9506 and 9509 is 90392554.