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 9433 the smallest integer that is 88924891 that is divisible by both numbers.
Least Common Multiple (LCM) of 9427 and 9433 is 88924891.
LCM(9427,9433) = 88924891
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 9433. First we will calculate the prime factors of 9427 and 9433.
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 9433
9433 | 9433 |
1 |
Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:
9433 = 94331
Now multiplying the highest exponent prime factors to calculate the LCM of 9427 and 9433.
LCM(9427,9433) = 111×8571×94331
LCM(9427,9433) = 88924891
Factors of 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1, 11, 857, 9427
Factors of 9433
List of positive integer factors of 9433 that divides 9433 without a remainder.
1, 9433
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9427 and 9433, than apply into the LCM equation.
GCF(9427,9433) = 1
LCM(9427,9433) = ( 9427 × 9433) / 1
LCM(9427,9433) = 88924891 / 1
LCM(9427,9433) = 88924891
(i) The LCM of 9433 and 9427 is associative
LCM of 9427 and 9433 = LCM of 9433 and 9427
1. What is the LCM of 9427 and 9433?
Answer: LCM of 9427 and 9433 is 88924891.
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 9433?
Answer: Factors of 9433 are 1, 9433. There are 2 integers that are factors of 9433. The greatest factor of 9433 is 9433.
4. How to Find the LCM of 9427 and 9433?
Answer:
Least Common Multiple of 9427 and 9433 = 88924891
Step 1: Find the prime factorization of 9427
9427 = 11 x 857
Step 2: Find the prime factorization of 9433
9433 = 9433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88924891 = 11 x 857 x 9433
Step 4: Therefore, the least common multiple of 9427 and 9433 is 88924891.