Least Common Multiple of 21483 and 21490
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 21483 and 21490 the smallest integer that is 65952810 that is divisible by both numbers.
Least Common Multiple (LCM) of 21483 and 21490 is 65952810.
LCM(21483,21490) = 65952810
LCM of 21483 and 21490
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21483 and 21490 by Prime method
- Least Common Multiple of 21483 and 21490 with GCF Formula
LCM of 21483 and 21490 is 65952810
Least common multiple can be found by multiplying the highest exponent prime factors of 21483 and 21490. First we will calculate the prime factors of 21483 and 21490.
Prime Factorization of 21483
| 3 | 21483 |
| 3 | 7161 |
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 21483 are 3, 7, 11,31. Prime factorization of 21483 in exponential form is:
21483 = 32×71×111×311
Prime Factorization of 21490
| 2 | 21490 |
| 5 | 10745 |
| 7 | 2149 |
| 307 | 307 |
| 1 |
Prime factors of 21490 are 2, 5, 7,307. Prime factorization of 21490 in exponential form is:
21490 = 21×51×71×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 21483 and 21490.
LCM(21483,21490) = 21×32×51×71×111×311×3071
LCM(21483,21490) = 65952810
Factors of 21483
List of positive integer factors of 21483 that divides 21483 without a remainder.
1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161, 21483
Factors of 21490
List of positive integer factors of 21490 that divides 21490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745, 21490
Least Common Multiple of 21483 and 21490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21483 and 21490, than apply into the LCM equation.
GCF(21483,21490) = 7
LCM(21483,21490) = ( 21483 × 21490) / 7
LCM(21483,21490) = 461669670 / 7
LCM(21483,21490) = 65952810
Properties of LCM 21483 and 21490
(i) The LCM of 21490 and 21483 is associative
LCM of 21483 and 21490 = LCM of 21490 and 21483
Related Least Common Multiples of 21483
Related Least Common Multiples of 21490
Frequently Asked Questions on LCM of 21483 and 21490
1. What is the LCM of 21483 and 21490?
Answer: LCM of 21483 and 21490 is 65952810.
2. What are the Factors of 21483?
Answer: Factors of 21483 are 1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161, 21483. There are 24 integers that are factors of 21483. The greatest factor of 21483 is 21483.
3. What are the Factors of 21490?
Answer: Factors of 21490 are 1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745, 21490. There are 16 integers that are factors of 21490. The greatest factor of 21490 is 21490.
4. How to Find the LCM of 21483 and 21490?
Answer:
Least Common Multiple of 21483 and 21490 = 65952810
Step 1: Find the prime factorization of 21483
21483 = 3 x 3 x 7 x 11 x 31
Step 2: Find the prime factorization of 21490
21490 = 2 x 5 x 7 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65952810 = 2 x 3 x 3 x 5 x 7 x 11 x 31 x 307
Step 4: Therefore, the least common multiple of 21483 and 21490 is 65952810.