Least Common Multiple of 10414 and 10421
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10414 and 10421 the smallest integer that is 108524294 that is divisible by both numbers.
Least Common Multiple (LCM) of 10414 and 10421 is 108524294.
LCM(10414,10421) = 108524294
LCM of 10414 and 10421
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10414 and 10421 by Prime method
- Least Common Multiple of 10414 and 10421 with GCF Formula
LCM of 10414 and 10421 is 108524294
Least common multiple can be found by multiplying the highest exponent prime factors of 10414 and 10421. First we will calculate the prime factors of 10414 and 10421.
Prime Factorization of 10414
| 2 | 10414 |
| 41 | 5207 |
| 127 | 127 |
| 1 |
Prime factors of 10414 are 2, 41,127. Prime factorization of 10414 in exponential form is:
10414 = 21×411×1271
Prime Factorization of 10421
| 17 | 10421 |
| 613 | 613 |
| 1 |
Prime factors of 10421 are 17,613. Prime factorization of 10421 in exponential form is:
10421 = 171×6131
Now multiplying the highest exponent prime factors to calculate the LCM of 10414 and 10421.
LCM(10414,10421) = 21×171×411×1271×6131
LCM(10414,10421) = 108524294
Factors of 10414
List of positive integer factors of 10414 that divides 10414 without a remainder.
1, 2, 41, 82, 127, 254, 5207, 10414
Factors of 10421
List of positive integer factors of 10421 that divides 10421 without a remainder.
1, 17, 613, 10421
Least Common Multiple of 10414 and 10421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10414 and 10421, than apply into the LCM equation.
GCF(10414,10421) = 1
LCM(10414,10421) = ( 10414 × 10421) / 1
LCM(10414,10421) = 108524294 / 1
LCM(10414,10421) = 108524294
Properties of LCM 10414 and 10421
(i) The LCM of 10421 and 10414 is associative
LCM of 10414 and 10421 = LCM of 10421 and 10414
Related Least Common Multiples of 10414
Related Least Common Multiples of 10421
Frequently Asked Questions on LCM of 10414 and 10421
1. What is the LCM of 10414 and 10421?
Answer: LCM of 10414 and 10421 is 108524294.
2. What are the Factors of 10414?
Answer: Factors of 10414 are 1, 2, 41, 82, 127, 254, 5207, 10414. There are 8 integers that are factors of 10414. The greatest factor of 10414 is 10414.
3. What are the Factors of 10421?
Answer: Factors of 10421 are 1, 17, 613, 10421. There are 4 integers that are factors of 10421. The greatest factor of 10421 is 10421.
4. How to Find the LCM of 10414 and 10421?
Answer:
Least Common Multiple of 10414 and 10421 = 108524294
Step 1: Find the prime factorization of 10414
10414 = 2 x 41 x 127
Step 2: Find the prime factorization of 10421
10421 = 17 x 613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108524294 = 2 x 17 x 41 x 127 x 613
Step 4: Therefore, the least common multiple of 10414 and 10421 is 108524294.