Least Common Multiple of 20426 and 20433
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 20426 and 20433 the smallest integer that is 59623494 that is divisible by both numbers.
Least Common Multiple (LCM) of 20426 and 20433 is 59623494.
LCM(20426,20433) = 59623494
LCM of 20426 and 20433
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 20426 and 20433 by Prime method
- Least Common Multiple of 20426 and 20433 with GCF Formula
LCM of 20426 and 20433 is 59623494
Least common multiple can be found by multiplying the highest exponent prime factors of 20426 and 20433. First we will calculate the prime factors of 20426 and 20433.
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
Prime Factorization of 20433
| 3 | 20433 |
| 7 | 6811 |
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 20433 are 3, 7,139. Prime factorization of 20433 in exponential form is:
20433 = 31×72×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 20426 and 20433.
LCM(20426,20433) = 21×31×72×1391×14591
LCM(20426,20433) = 59623494
Factors of 20426
List of positive integer factors of 20426 that divides 20426 without a remainder.
1, 2, 7, 14, 1459, 2918, 10213, 20426
Factors of 20433
List of positive integer factors of 20433 that divides 20433 without a remainder.
1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433
Least Common Multiple of 20426 and 20433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20426 and 20433, than apply into the LCM equation.
GCF(20426,20433) = 7
LCM(20426,20433) = ( 20426 × 20433) / 7
LCM(20426,20433) = 417364458 / 7
LCM(20426,20433) = 59623494
Properties of LCM 20426 and 20433
(i) The LCM of 20433 and 20426 is associative
LCM of 20426 and 20433 = LCM of 20433 and 20426
Related Least Common Multiples of 20426
Related Least Common Multiples of 20433
Frequently Asked Questions on LCM of 20426 and 20433
1. What is the LCM of 20426 and 20433?
Answer: LCM of 20426 and 20433 is 59623494.
2. 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.
3. What are the Factors of 20433?
Answer: Factors of 20433 are 1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433. There are 12 integers that are factors of 20433. The greatest factor of 20433 is 20433.
4. How to Find the LCM of 20426 and 20433?
Answer:
Least Common Multiple of 20426 and 20433 = 59623494
Step 1: Find the prime factorization of 20426
20426 = 2 x 7 x 1459
Step 2: Find the prime factorization of 20433
20433 = 3 x 7 x 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59623494 = 2 x 3 x 7 x 7 x 139 x 1459
Step 4: Therefore, the least common multiple of 20426 and 20433 is 59623494.