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 9553 the smallest integer that is 91202491 that is divisible by both numbers.
Least Common Multiple (LCM) of 9547 and 9553 is 91202491.
LCM(9547,9553) = 91202491
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 9553. First we will calculate the prime factors of 9547 and 9553.
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 9553
41 | 9553 |
233 | 233 |
1 |
Prime factors of 9553 are 41,233. Prime factorization of 9553 in exponential form is:
9553 = 411×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 9547 and 9553.
LCM(9547,9553) = 411×2331×95471
LCM(9547,9553) = 91202491
Factors of 9547
List of positive integer factors of 9547 that divides 9547 without a remainder.
1, 9547
Factors of 9553
List of positive integer factors of 9553 that divides 9553 without a remainder.
1, 41, 233, 9553
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9547 and 9553, than apply into the LCM equation.
GCF(9547,9553) = 1
LCM(9547,9553) = ( 9547 × 9553) / 1
LCM(9547,9553) = 91202491 / 1
LCM(9547,9553) = 91202491
(i) The LCM of 9553 and 9547 is associative
LCM of 9547 and 9553 = LCM of 9553 and 9547
1. What is the LCM of 9547 and 9553?
Answer: LCM of 9547 and 9553 is 91202491.
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 9553?
Answer: Factors of 9553 are 1, 41, 233, 9553. There are 4 integers that are factors of 9553. The greatest factor of 9553 is 9553.
4. How to Find the LCM of 9547 and 9553?
Answer:
Least Common Multiple of 9547 and 9553 = 91202491
Step 1: Find the prime factorization of 9547
9547 = 9547
Step 2: Find the prime factorization of 9553
9553 = 41 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91202491 = 41 x 233 x 9547
Step 4: Therefore, the least common multiple of 9547 and 9553 is 91202491.