Least Common Multiple of 17283 and 17290
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17283 and 17290 the smallest integer that is 42689010 that is divisible by both numbers.
Least Common Multiple (LCM) of 17283 and 17290 is 42689010.
LCM(17283,17290) = 42689010
LCM of 17283 and 17290
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17283 and 17290 by Prime method
- Least Common Multiple of 17283 and 17290 with GCF Formula
LCM of 17283 and 17290 is 42689010
Least common multiple can be found by multiplying the highest exponent prime factors of 17283 and 17290. First we will calculate the prime factors of 17283 and 17290.
Prime Factorization of 17283
| 3 | 17283 |
| 7 | 5761 |
| 823 | 823 |
| 1 |
Prime factors of 17283 are 3, 7,823. Prime factorization of 17283 in exponential form is:
17283 = 31×71×8231
Prime Factorization of 17290
| 2 | 17290 |
| 5 | 8645 |
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 17290 are 2, 5, 7, 13,19. Prime factorization of 17290 in exponential form is:
17290 = 21×51×71×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 17283 and 17290.
LCM(17283,17290) = 21×31×51×71×131×191×8231
LCM(17283,17290) = 42689010
Factors of 17283
List of positive integer factors of 17283 that divides 17283 without a remainder.
1, 3, 7, 21, 823, 2469, 5761, 17283
Factors of 17290
List of positive integer factors of 17290 that divides 17290 without a remainder.
1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645, 17290
Least Common Multiple of 17283 and 17290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17283 and 17290, than apply into the LCM equation.
GCF(17283,17290) = 7
LCM(17283,17290) = ( 17283 × 17290) / 7
LCM(17283,17290) = 298823070 / 7
LCM(17283,17290) = 42689010
Properties of LCM 17283 and 17290
(i) The LCM of 17290 and 17283 is associative
LCM of 17283 and 17290 = LCM of 17290 and 17283
Related Least Common Multiples of 17283
Related Least Common Multiples of 17290
Frequently Asked Questions on LCM of 17283 and 17290
1. What is the LCM of 17283 and 17290?
Answer: LCM of 17283 and 17290 is 42689010.
2. What are the Factors of 17283?
Answer: Factors of 17283 are 1, 3, 7, 21, 823, 2469, 5761, 17283. There are 8 integers that are factors of 17283. The greatest factor of 17283 is 17283.
3. What are the Factors of 17290?
Answer: Factors of 17290 are 1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645, 17290. There are 32 integers that are factors of 17290. The greatest factor of 17290 is 17290.
4. How to Find the LCM of 17283 and 17290?
Answer:
Least Common Multiple of 17283 and 17290 = 42689010
Step 1: Find the prime factorization of 17283
17283 = 3 x 7 x 823
Step 2: Find the prime factorization of 17290
17290 = 2 x 5 x 7 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42689010 = 2 x 3 x 5 x 7 x 13 x 19 x 823
Step 4: Therefore, the least common multiple of 17283 and 17290 is 42689010.