Least Common Multiple of 9363 and 9367
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9363 and 9367 the smallest integer that is 87703221 that is divisible by both numbers.
Least Common Multiple (LCM) of 9363 and 9367 is 87703221.
LCM(9363,9367) = 87703221
LCM of 9363 and 9367
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9363 and 9367 by Prime method
- Least Common Multiple of 9363 and 9367 with GCF Formula
LCM of 9363 and 9367 is 87703221
Least common multiple can be found by multiplying the highest exponent prime factors of 9363 and 9367. First we will calculate the prime factors of 9363 and 9367.
Prime Factorization of 9363
| 3 | 9363 |
| 3121 | 3121 |
| 1 |
Prime factors of 9363 are 3,3121. Prime factorization of 9363 in exponential form is:
9363 = 31×31211
Prime Factorization of 9367
| 17 | 9367 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 9367 are 17, 19,29. Prime factorization of 9367 in exponential form is:
9367 = 171×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9363 and 9367.
LCM(9363,9367) = 31×171×191×291×31211
LCM(9363,9367) = 87703221
Factors of 9363
List of positive integer factors of 9363 that divides 9363 without a remainder.
1, 3, 3121, 9363
Factors of 9367
List of positive integer factors of 9367 that divides 9367 without a remainder.
1, 17, 19, 29, 323, 493, 551, 9367
Least Common Multiple of 9363 and 9367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9363 and 9367, than apply into the LCM equation.
GCF(9363,9367) = 1
LCM(9363,9367) = ( 9363 × 9367) / 1
LCM(9363,9367) = 87703221 / 1
LCM(9363,9367) = 87703221
Properties of LCM 9363 and 9367
(i) The LCM of 9367 and 9363 is associative
LCM of 9363 and 9367 = LCM of 9367 and 9363
Related Least Common Multiples of 9363
Related Least Common Multiples of 9367
Frequently Asked Questions on LCM of 9363 and 9367
1. What is the LCM of 9363 and 9367?
Answer: LCM of 9363 and 9367 is 87703221.
2. What are the Factors of 9363?
Answer: Factors of 9363 are 1, 3, 3121, 9363. There are 4 integers that are factors of 9363. The greatest factor of 9363 is 9363.
3. What are the Factors of 9367?
Answer: Factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367. There are 8 integers that are factors of 9367. The greatest factor of 9367 is 9367.
4. How to Find the LCM of 9363 and 9367?
Answer:
Least Common Multiple of 9363 and 9367 = 87703221
Step 1: Find the prime factorization of 9363
9363 = 3 x 3121
Step 2: Find the prime factorization of 9367
9367 = 17 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87703221 = 3 x 17 x 19 x 29 x 3121
Step 4: Therefore, the least common multiple of 9363 and 9367 is 87703221.