Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9547 and 9551 the smallest integer that is 91183397 that is divisible by both numbers.
Least Common Multiple (LCM) of 9547 and 9551 is 91183397.
LCM(9547,9551) = 91183397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9547 and 9551. First we will calculate the prime factors of 9547 and 9551.
Prime Factorization of 9547
9547 | 9547 |
1 |
Prime factors of 9547 are 9547. Prime factorization of 9547 in exponential form is:
9547 = 95471
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 9547 and 9551.
LCM(9547,9551) = 95471×95511
LCM(9547,9551) = 91183397
Factors of 9547
List of positive integer factors of 9547 that divides 9547 without a remainder.
1, 9547
Factors of 9551
List of positive integer factors of 9551 that divides 9551 without a remainder.
1, 9551
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9547 and 9551, than apply into the LCM equation.
GCF(9547,9551) = 1
LCM(9547,9551) = ( 9547 × 9551) / 1
LCM(9547,9551) = 91183397 / 1
LCM(9547,9551) = 91183397
(i) The LCM of 9551 and 9547 is associative
LCM of 9547 and 9551 = LCM of 9551 and 9547
1. What is the LCM of 9547 and 9551?
Answer: LCM of 9547 and 9551 is 91183397.
2. What are the Factors of 9547?
Answer: Factors of 9547 are 1, 9547. There are 2 integers that are factors of 9547. The greatest factor of 9547 is 9547.
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 9547 and 9551?
Answer:
Least Common Multiple of 9547 and 9551 = 91183397
Step 1: Find the prime factorization of 9547
9547 = 9547
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 = 91183397 = 9547 x 9551
Step 4: Therefore, the least common multiple of 9547 and 9551 is 91183397.