Least Common Multiple of 9213 and 9217
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9213 and 9217 the smallest integer that is 84916221 that is divisible by both numbers.
Least Common Multiple (LCM) of 9213 and 9217 is 84916221.
LCM(9213,9217) = 84916221
LCM of 9213 and 9217
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9213 and 9217 by Prime method
- Least Common Multiple of 9213 and 9217 with GCF Formula
LCM of 9213 and 9217 is 84916221
Least common multiple can be found by multiplying the highest exponent prime factors of 9213 and 9217. First we will calculate the prime factors of 9213 and 9217.
Prime Factorization of 9213
| 3 | 9213 |
| 37 | 3071 |
| 83 | 83 |
| 1 |
Prime factors of 9213 are 3, 37,83. Prime factorization of 9213 in exponential form is:
9213 = 31×371×831
Prime Factorization of 9217
| 13 | 9217 |
| 709 | 709 |
| 1 |
Prime factors of 9217 are 13,709. Prime factorization of 9217 in exponential form is:
9217 = 131×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 9213 and 9217.
LCM(9213,9217) = 31×131×371×831×7091
LCM(9213,9217) = 84916221
Factors of 9213
List of positive integer factors of 9213 that divides 9213 without a remainder.
1, 3, 37, 83, 111, 249, 3071, 9213
Factors of 9217
List of positive integer factors of 9217 that divides 9217 without a remainder.
1, 13, 709, 9217
Least Common Multiple of 9213 and 9217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9213 and 9217, than apply into the LCM equation.
GCF(9213,9217) = 1
LCM(9213,9217) = ( 9213 × 9217) / 1
LCM(9213,9217) = 84916221 / 1
LCM(9213,9217) = 84916221
Properties of LCM 9213 and 9217
(i) The LCM of 9217 and 9213 is associative
LCM of 9213 and 9217 = LCM of 9217 and 9213
Related Least Common Multiples of 9213
Related Least Common Multiples of 9217
Frequently Asked Questions on LCM of 9213 and 9217
1. What is the LCM of 9213 and 9217?
Answer: LCM of 9213 and 9217 is 84916221.
2. What are the Factors of 9213?
Answer: Factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213. There are 8 integers that are factors of 9213. The greatest factor of 9213 is 9213.
3. What are the Factors of 9217?
Answer: Factors of 9217 are 1, 13, 709, 9217. There are 4 integers that are factors of 9217. The greatest factor of 9217 is 9217.
4. How to Find the LCM of 9213 and 9217?
Answer:
Least Common Multiple of 9213 and 9217 = 84916221
Step 1: Find the prime factorization of 9213
9213 = 3 x 37 x 83
Step 2: Find the prime factorization of 9217
9217 = 13 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84916221 = 3 x 13 x 37 x 83 x 709
Step 4: Therefore, the least common multiple of 9213 and 9217 is 84916221.