Least Common Multiple of 21474 and 21482
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 21474 and 21482 the smallest integer that is 230652234 that is divisible by both numbers.
Least Common Multiple (LCM) of 21474 and 21482 is 230652234.
LCM(21474,21482) = 230652234
LCM of 21474 and 21482
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21474 and 21482 by Prime method
- Least Common Multiple of 21474 and 21482 with GCF Formula
LCM of 21474 and 21482 is 230652234
Least common multiple can be found by multiplying the highest exponent prime factors of 21474 and 21482. First we will calculate the prime factors of 21474 and 21482.
Prime Factorization of 21474
| 2 | 21474 |
| 3 | 10737 |
| 3 | 3579 |
| 1193 | 1193 |
| 1 |
Prime factors of 21474 are 2, 3,1193. Prime factorization of 21474 in exponential form is:
21474 = 21×32×11931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 21474 and 21482.
LCM(21474,21482) = 21×32×231×4671×11931
LCM(21474,21482) = 230652234
Factors of 21474
List of positive integer factors of 21474 that divides 21474 without a remainder.
1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474
Factors of 21482
List of positive integer factors of 21482 that divides 21482 without a remainder.
1, 2, 23, 46, 467, 934, 10741, 21482
Least Common Multiple of 21474 and 21482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21474 and 21482, than apply into the LCM equation.
GCF(21474,21482) = 2
LCM(21474,21482) = ( 21474 × 21482) / 2
LCM(21474,21482) = 461304468 / 2
LCM(21474,21482) = 230652234
Properties of LCM 21474 and 21482
(i) The LCM of 21482 and 21474 is associative
LCM of 21474 and 21482 = LCM of 21482 and 21474
Related Least Common Multiples of 21474
Related Least Common Multiples of 21482
Frequently Asked Questions on LCM of 21474 and 21482
1. What is the LCM of 21474 and 21482?
Answer: LCM of 21474 and 21482 is 230652234.
2. What are the Factors of 21474?
Answer: Factors of 21474 are 1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474. There are 12 integers that are factors of 21474. The greatest factor of 21474 is 21474.
3. 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.
4. How to Find the LCM of 21474 and 21482?
Answer:
Least Common Multiple of 21474 and 21482 = 230652234
Step 1: Find the prime factorization of 21474
21474 = 2 x 3 x 3 x 1193
Step 2: Find the prime factorization of 21482
21482 = 2 x 23 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230652234 = 2 x 3 x 3 x 23 x 467 x 1193
Step 4: Therefore, the least common multiple of 21474 and 21482 is 230652234.