Least Common Multiple of 9546 and 9551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9546 and 9551 the smallest integer that is 91173846 that is divisible by both numbers.
Least Common Multiple (LCM) of 9546 and 9551 is 91173846.
LCM(9546,9551) = 91173846
LCM of 9546 and 9551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9546 and 9551 by Prime method
- Least Common Multiple of 9546 and 9551 with GCF Formula
LCM of 9546 and 9551 is 91173846
Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9551. First we will calculate the prime factors of 9546 and 9551.
Prime Factorization of 9546
| 2 | 9546 |
| 3 | 4773 |
| 37 | 1591 |
| 43 | 43 |
| 1 |
Prime factors of 9546 are 2, 3, 37,43. Prime factorization of 9546 in exponential form is:
9546 = 21×31×371×431
Prime Factorization of 9551
| 9551 | 9551 |
| 1 |
Prime factors of 9551 are 9551. Prime factorization of 9551 in exponential form is:
9551 = 95511
Now multiplying the highest exponent prime factors to calculate the LCM of 9546 and 9551.
LCM(9546,9551) = 21×31×371×431×95511
LCM(9546,9551) = 91173846
Factors of 9546
List of positive integer factors of 9546 that divides 9546 without a remainder.
1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546
Factors of 9551
List of positive integer factors of 9551 that divides 9551 without a remainder.
1, 9551
Least Common Multiple of 9546 and 9551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9546 and 9551, than apply into the LCM equation.
GCF(9546,9551) = 1
LCM(9546,9551) = ( 9546 × 9551) / 1
LCM(9546,9551) = 91173846 / 1
LCM(9546,9551) = 91173846
Properties of LCM 9546 and 9551
(i) The LCM of 9551 and 9546 is associative
LCM of 9546 and 9551 = LCM of 9551 and 9546
Related Least Common Multiples of 9546
Related Least Common Multiples of 9551
Frequently Asked Questions on LCM of 9546 and 9551
1. What is the LCM of 9546 and 9551?
Answer: LCM of 9546 and 9551 is 91173846.
2. What are the Factors of 9546?
Answer: Factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546. There are 16 integers that are factors of 9546. The greatest factor of 9546 is 9546.
3. What are the Factors of 9551?
Answer: Factors of 9551 are 1, 9551. There are 2 integers that are factors of 9551. The greatest factor of 9551 is 9551.
4. How to Find the LCM of 9546 and 9551?
Answer:
Least Common Multiple of 9546 and 9551 = 91173846
Step 1: Find the prime factorization of 9546
9546 = 2 x 3 x 37 x 43
Step 2: Find the prime factorization of 9551
9551 = 9551
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91173846 = 2 x 3 x 37 x 43 x 9551
Step 4: Therefore, the least common multiple of 9546 and 9551 is 91173846.