Least Common Multiple of 20421 and 20426
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 20421 and 20426 the smallest integer that is 417119346 that is divisible by both numbers.
Least Common Multiple (LCM) of 20421 and 20426 is 417119346.
LCM(20421,20426) = 417119346
LCM of 20421 and 20426
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 20421 and 20426 by Prime method
- Least Common Multiple of 20421 and 20426 with GCF Formula
LCM of 20421 and 20426 is 417119346
Least common multiple can be found by multiplying the highest exponent prime factors of 20421 and 20426. First we will calculate the prime factors of 20421 and 20426.
Prime Factorization of 20421
| 3 | 20421 |
| 3 | 6807 |
| 2269 | 2269 |
| 1 |
Prime factors of 20421 are 3,2269. Prime factorization of 20421 in exponential form is:
20421 = 32×22691
Prime Factorization of 20426
| 2 | 20426 |
| 7 | 10213 |
| 1459 | 1459 |
| 1 |
Prime factors of 20426 are 2, 7,1459. Prime factorization of 20426 in exponential form is:
20426 = 21×71×14591
Now multiplying the highest exponent prime factors to calculate the LCM of 20421 and 20426.
LCM(20421,20426) = 21×32×71×14591×22691
LCM(20421,20426) = 417119346
Factors of 20421
List of positive integer factors of 20421 that divides 20421 without a remainder.
1, 3, 9, 2269, 6807, 20421
Factors of 20426
List of positive integer factors of 20426 that divides 20426 without a remainder.
1, 2, 7, 14, 1459, 2918, 10213, 20426
Least Common Multiple of 20421 and 20426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20421 and 20426, than apply into the LCM equation.
GCF(20421,20426) = 1
LCM(20421,20426) = ( 20421 × 20426) / 1
LCM(20421,20426) = 417119346 / 1
LCM(20421,20426) = 417119346
Properties of LCM 20421 and 20426
(i) The LCM of 20426 and 20421 is associative
LCM of 20421 and 20426 = LCM of 20426 and 20421
Related Least Common Multiples of 20421
Related Least Common Multiples of 20426
Frequently Asked Questions on LCM of 20421 and 20426
1. What is the LCM of 20421 and 20426?
Answer: LCM of 20421 and 20426 is 417119346.
2. What are the Factors of 20421?
Answer: Factors of 20421 are 1, 3, 9, 2269, 6807, 20421. There are 6 integers that are factors of 20421. The greatest factor of 20421 is 20421.
3. What are the Factors of 20426?
Answer: Factors of 20426 are 1, 2, 7, 14, 1459, 2918, 10213, 20426. There are 8 integers that are factors of 20426. The greatest factor of 20426 is 20426.
4. How to Find the LCM of 20421 and 20426?
Answer:
Least Common Multiple of 20421 and 20426 = 417119346
Step 1: Find the prime factorization of 20421
20421 = 3 x 3 x 2269
Step 2: Find the prime factorization of 20426
20426 = 2 x 7 x 1459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 417119346 = 2 x 3 x 3 x 7 x 1459 x 2269
Step 4: Therefore, the least common multiple of 20421 and 20426 is 417119346.