Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9427 and 9431 the smallest integer that is 88906037 that is divisible by both numbers.
Least Common Multiple (LCM) of 9427 and 9431 is 88906037.
LCM(9427,9431) = 88906037
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 9427 and 9431. First we will calculate the prime factors of 9427 and 9431.
Prime Factorization of 9427
11 | 9427 |
857 | 857 |
1 |
Prime factors of 9427 are 11,857. Prime factorization of 9427 in exponential form is:
9427 = 111×8571
Prime Factorization of 9431
9431 | 9431 |
1 |
Prime factors of 9431 are 9431. Prime factorization of 9431 in exponential form is:
9431 = 94311
Now multiplying the highest exponent prime factors to calculate the LCM of 9427 and 9431.
LCM(9427,9431) = 111×8571×94311
LCM(9427,9431) = 88906037
Factors of 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1, 11, 857, 9427
Factors of 9431
List of positive integer factors of 9431 that divides 9431 without a remainder.
1, 9431
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9427 and 9431, than apply into the LCM equation.
GCF(9427,9431) = 1
LCM(9427,9431) = ( 9427 × 9431) / 1
LCM(9427,9431) = 88906037 / 1
LCM(9427,9431) = 88906037
(i) The LCM of 9431 and 9427 is associative
LCM of 9427 and 9431 = LCM of 9431 and 9427
1. What is the LCM of 9427 and 9431?
Answer: LCM of 9427 and 9431 is 88906037.
2. What are the Factors of 9427?
Answer: Factors of 9427 are 1, 11, 857, 9427. There are 4 integers that are factors of 9427. The greatest factor of 9427 is 9427.
3. What are the Factors of 9431?
Answer: Factors of 9431 are 1, 9431. There are 2 integers that are factors of 9431. The greatest factor of 9431 is 9431.
4. How to Find the LCM of 9427 and 9431?
Answer:
Least Common Multiple of 9427 and 9431 = 88906037
Step 1: Find the prime factorization of 9427
9427 = 11 x 857
Step 2: Find the prime factorization of 9431
9431 = 9431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88906037 = 11 x 857 x 9431
Step 4: Therefore, the least common multiple of 9427 and 9431 is 88906037.