Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9357 and 9362 the smallest integer that is 87600234 that is divisible by both numbers.
Least Common Multiple (LCM) of 9357 and 9362 is 87600234.
LCM(9357,9362) = 87600234
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 9357 and 9362. First we will calculate the prime factors of 9357 and 9362.
Prime Factorization of 9357
3 | 9357 |
3119 | 3119 |
1 |
Prime factors of 9357 are 3,3119. Prime factorization of 9357 in exponential form is:
9357 = 31×31191
Prime Factorization of 9362
2 | 9362 |
31 | 4681 |
151 | 151 |
1 |
Prime factors of 9362 are 2, 31,151. Prime factorization of 9362 in exponential form is:
9362 = 21×311×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 9357 and 9362.
LCM(9357,9362) = 21×31×311×1511×31191
LCM(9357,9362) = 87600234
Factors of 9357
List of positive integer factors of 9357 that divides 9357 without a remainder.
1, 3, 3119, 9357
Factors of 9362
List of positive integer factors of 9362 that divides 9362 without a remainder.
1, 2, 31, 62, 151, 302, 4681, 9362
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9357 and 9362, than apply into the LCM equation.
GCF(9357,9362) = 1
LCM(9357,9362) = ( 9357 × 9362) / 1
LCM(9357,9362) = 87600234 / 1
LCM(9357,9362) = 87600234
(i) The LCM of 9362 and 9357 is associative
LCM of 9357 and 9362 = LCM of 9362 and 9357
1. What is the LCM of 9357 and 9362?
Answer: LCM of 9357 and 9362 is 87600234.
2. What are the Factors of 9357?
Answer: Factors of 9357 are 1, 3, 3119, 9357. There are 4 integers that are factors of 9357. The greatest factor of 9357 is 9357.
3. What are the Factors of 9362?
Answer: Factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362. There are 8 integers that are factors of 9362. The greatest factor of 9362 is 9362.
4. How to Find the LCM of 9357 and 9362?
Answer:
Least Common Multiple of 9357 and 9362 = 87600234
Step 1: Find the prime factorization of 9357
9357 = 3 x 3119
Step 2: Find the prime factorization of 9362
9362 = 2 x 31 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87600234 = 2 x 3 x 31 x 151 x 3119
Step 4: Therefore, the least common multiple of 9357 and 9362 is 87600234.