Least Common Multiple of 17210 and 17217
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17210 and 17217 the smallest integer that is 296304570 that is divisible by both numbers.
Least Common Multiple (LCM) of 17210 and 17217 is 296304570.
LCM(17210,17217) = 296304570
LCM of 17210 and 17217
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17210 and 17217 by Prime method
- Least Common Multiple of 17210 and 17217 with GCF Formula
LCM of 17210 and 17217 is 296304570
Least common multiple can be found by multiplying the highest exponent prime factors of 17210 and 17217. First we will calculate the prime factors of 17210 and 17217.
Prime Factorization of 17210
| 2 | 17210 |
| 5 | 8605 |
| 1721 | 1721 |
| 1 |
Prime factors of 17210 are 2, 5,1721. Prime factorization of 17210 in exponential form is:
17210 = 21×51×17211
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
Now multiplying the highest exponent prime factors to calculate the LCM of 17210 and 17217.
LCM(17210,17217) = 21×32×51×17211×19131
LCM(17210,17217) = 296304570
Factors of 17210
List of positive integer factors of 17210 that divides 17210 without a remainder.
1, 2, 5, 10, 1721, 3442, 8605, 17210
Factors of 17217
List of positive integer factors of 17217 that divides 17217 without a remainder.
1, 3, 9, 1913, 5739, 17217
Least Common Multiple of 17210 and 17217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17210 and 17217, than apply into the LCM equation.
GCF(17210,17217) = 1
LCM(17210,17217) = ( 17210 × 17217) / 1
LCM(17210,17217) = 296304570 / 1
LCM(17210,17217) = 296304570
Properties of LCM 17210 and 17217
(i) The LCM of 17217 and 17210 is associative
LCM of 17210 and 17217 = LCM of 17217 and 17210
Related Least Common Multiples of 17210
Related Least Common Multiples of 17217
Frequently Asked Questions on LCM of 17210 and 17217
1. What is the LCM of 17210 and 17217?
Answer: LCM of 17210 and 17217 is 296304570.
2. What are the Factors of 17210?
Answer: Factors of 17210 are 1, 2, 5, 10, 1721, 3442, 8605, 17210. There are 8 integers that are factors of 17210. The greatest factor of 17210 is 17210.
3. 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.
4. How to Find the LCM of 17210 and 17217?
Answer:
Least Common Multiple of 17210 and 17217 = 296304570
Step 1: Find the prime factorization of 17210
17210 = 2 x 5 x 1721
Step 2: Find the prime factorization of 17217
17217 = 3 x 3 x 1913
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296304570 = 2 x 3 x 3 x 5 x 1721 x 1913
Step 4: Therefore, the least common multiple of 17210 and 17217 is 296304570.