Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9332 and 9337 the smallest integer that is 87132884 that is divisible by both numbers.
Least Common Multiple (LCM) of 9332 and 9337 is 87132884.
LCM(9332,9337) = 87132884
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 9332 and 9337. First we will calculate the prime factors of 9332 and 9337.
Prime Factorization of 9332
2 | 9332 |
2 | 4666 |
2333 | 2333 |
1 |
Prime factors of 9332 are 2,2333. Prime factorization of 9332 in exponential form is:
9332 = 22×23331
Prime Factorization of 9337
9337 | 9337 |
1 |
Prime factors of 9337 are 9337. Prime factorization of 9337 in exponential form is:
9337 = 93371
Now multiplying the highest exponent prime factors to calculate the LCM of 9332 and 9337.
LCM(9332,9337) = 22×23331×93371
LCM(9332,9337) = 87132884
Factors of 9332
List of positive integer factors of 9332 that divides 9332 without a remainder.
1, 2, 4, 2333, 4666, 9332
Factors of 9337
List of positive integer factors of 9337 that divides 9337 without a remainder.
1, 9337
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9332 and 9337, than apply into the LCM equation.
GCF(9332,9337) = 1
LCM(9332,9337) = ( 9332 × 9337) / 1
LCM(9332,9337) = 87132884 / 1
LCM(9332,9337) = 87132884
(i) The LCM of 9337 and 9332 is associative
LCM of 9332 and 9337 = LCM of 9337 and 9332
1. What is the LCM of 9332 and 9337?
Answer: LCM of 9332 and 9337 is 87132884.
2. What are the Factors of 9332?
Answer: Factors of 9332 are 1, 2, 4, 2333, 4666, 9332. There are 6 integers that are factors of 9332. The greatest factor of 9332 is 9332.
3. What are the Factors of 9337?
Answer: Factors of 9337 are 1, 9337. There are 2 integers that are factors of 9337. The greatest factor of 9337 is 9337.
4. How to Find the LCM of 9332 and 9337?
Answer:
Least Common Multiple of 9332 and 9337 = 87132884
Step 1: Find the prime factorization of 9332
9332 = 2 x 2 x 2333
Step 2: Find the prime factorization of 9337
9337 = 9337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87132884 = 2 x 2 x 2333 x 9337
Step 4: Therefore, the least common multiple of 9332 and 9337 is 87132884.