Least Common Multiple of 21482 and 21489
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 21482 and 21489 the smallest integer that is 461626698 that is divisible by both numbers.
Least Common Multiple (LCM) of 21482 and 21489 is 461626698.
LCM(21482,21489) = 461626698
LCM of 21482 and 21489
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21482 and 21489 by Prime method
- Least Common Multiple of 21482 and 21489 with GCF Formula
LCM of 21482 and 21489 is 461626698
Least common multiple can be found by multiplying the highest exponent prime factors of 21482 and 21489. First we will calculate the prime factors of 21482 and 21489.
Prime Factorization of 21482
| 2 | 21482 |
| 23 | 10741 |
| 467 | 467 |
| 1 |
Prime factors of 21482 are 2, 23,467. Prime factorization of 21482 in exponential form is:
21482 = 21×231×4671
Prime Factorization of 21489
| 3 | 21489 |
| 13 | 7163 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 21489 are 3, 13, 19,29. Prime factorization of 21489 in exponential form is:
21489 = 31×131×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 21482 and 21489.
LCM(21482,21489) = 21×31×131×191×231×291×4671
LCM(21482,21489) = 461626698
Factors of 21482
List of positive integer factors of 21482 that divides 21482 without a remainder.
1, 2, 23, 46, 467, 934, 10741, 21482
Factors of 21489
List of positive integer factors of 21489 that divides 21489 without a remainder.
1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163, 21489
Least Common Multiple of 21482 and 21489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21482 and 21489, than apply into the LCM equation.
GCF(21482,21489) = 1
LCM(21482,21489) = ( 21482 × 21489) / 1
LCM(21482,21489) = 461626698 / 1
LCM(21482,21489) = 461626698
Properties of LCM 21482 and 21489
(i) The LCM of 21489 and 21482 is associative
LCM of 21482 and 21489 = LCM of 21489 and 21482
Related Least Common Multiples of 21482
Related Least Common Multiples of 21489
Frequently Asked Questions on LCM of 21482 and 21489
1. What is the LCM of 21482 and 21489?
Answer: LCM of 21482 and 21489 is 461626698.
2. What are the Factors of 21482?
Answer: Factors of 21482 are 1, 2, 23, 46, 467, 934, 10741, 21482. There are 8 integers that are factors of 21482. The greatest factor of 21482 is 21482.
3. What are the Factors of 21489?
Answer: Factors of 21489 are 1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163, 21489. There are 16 integers that are factors of 21489. The greatest factor of 21489 is 21489.
4. How to Find the LCM of 21482 and 21489?
Answer:
Least Common Multiple of 21482 and 21489 = 461626698
Step 1: Find the prime factorization of 21482
21482 = 2 x 23 x 467
Step 2: Find the prime factorization of 21489
21489 = 3 x 13 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 = 461626698 = 2 x 3 x 13 x 19 x 23 x 29 x 467
Step 4: Therefore, the least common multiple of 21482 and 21489 is 461626698.