Least Common Multiple of 17217 and 17221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17217 and 17221 the smallest integer that is 296493957 that is divisible by both numbers.
Least Common Multiple (LCM) of 17217 and 17221 is 296493957.
LCM(17217,17221) = 296493957
LCM of 17217 and 17221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17217 and 17221 by Prime method
- Least Common Multiple of 17217 and 17221 with GCF Formula
LCM of 17217 and 17221 is 296493957
Least common multiple can be found by multiplying the highest exponent prime factors of 17217 and 17221. First we will calculate the prime factors of 17217 and 17221.
Prime Factorization of 17217
| 3 | 17217 |
| 3 | 5739 |
| 1913 | 1913 |
| 1 |
Prime factors of 17217 are 3,1913. Prime factorization of 17217 in exponential form is:
17217 = 32×19131
Prime Factorization of 17221
| 17 | 17221 |
| 1013 | 1013 |
| 1 |
Prime factors of 17221 are 17,1013. Prime factorization of 17221 in exponential form is:
17221 = 171×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 17217 and 17221.
LCM(17217,17221) = 32×171×10131×19131
LCM(17217,17221) = 296493957
Factors of 17217
List of positive integer factors of 17217 that divides 17217 without a remainder.
1, 3, 9, 1913, 5739, 17217
Factors of 17221
List of positive integer factors of 17221 that divides 17221 without a remainder.
1, 17, 1013, 17221
Least Common Multiple of 17217 and 17221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17217 and 17221, than apply into the LCM equation.
GCF(17217,17221) = 1
LCM(17217,17221) = ( 17217 × 17221) / 1
LCM(17217,17221) = 296493957 / 1
LCM(17217,17221) = 296493957
Properties of LCM 17217 and 17221
(i) The LCM of 17221 and 17217 is associative
LCM of 17217 and 17221 = LCM of 17221 and 17217
Related Least Common Multiples of 17217
Related Least Common Multiples of 17221
Frequently Asked Questions on LCM of 17217 and 17221
1. What is the LCM of 17217 and 17221?
Answer: LCM of 17217 and 17221 is 296493957.
2. What are the Factors of 17217?
Answer: Factors of 17217 are 1, 3, 9, 1913, 5739, 17217. There are 6 integers that are factors of 17217. The greatest factor of 17217 is 17217.
3. What are the Factors of 17221?
Answer: Factors of 17221 are 1, 17, 1013, 17221. There are 4 integers that are factors of 17221. The greatest factor of 17221 is 17221.
4. How to Find the LCM of 17217 and 17221?
Answer:
Least Common Multiple of 17217 and 17221 = 296493957
Step 1: Find the prime factorization of 17217
17217 = 3 x 3 x 1913
Step 2: Find the prime factorization of 17221
17221 = 17 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296493957 = 3 x 3 x 17 x 1013 x 1913
Step 4: Therefore, the least common multiple of 17217 and 17221 is 296493957.