Least Common Multiple of 8413 and 8421
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8413 and 8421 the smallest integer that is 70845873 that is divisible by both numbers.
Least Common Multiple (LCM) of 8413 and 8421 is 70845873.
LCM(8413,8421) = 70845873
LCM of 8413 and 8421
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8413 and 8421 by Prime method
- Least Common Multiple of 8413 and 8421 with GCF Formula
LCM of 8413 and 8421 is 70845873
Least common multiple can be found by multiplying the highest exponent prime factors of 8413 and 8421. First we will calculate the prime factors of 8413 and 8421.
Prime Factorization of 8413
| 47 | 8413 |
| 179 | 179 |
| 1 |
Prime factors of 8413 are 47,179. Prime factorization of 8413 in exponential form is:
8413 = 471×1791
Prime Factorization of 8421
| 3 | 8421 |
| 7 | 2807 |
| 401 | 401 |
| 1 |
Prime factors of 8421 are 3, 7,401. Prime factorization of 8421 in exponential form is:
8421 = 31×71×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 8413 and 8421.
LCM(8413,8421) = 31×71×471×1791×4011
LCM(8413,8421) = 70845873
Factors of 8413
List of positive integer factors of 8413 that divides 8413 without a remainder.
1, 47, 179, 8413
Factors of 8421
List of positive integer factors of 8421 that divides 8421 without a remainder.
1, 3, 7, 21, 401, 1203, 2807, 8421
Least Common Multiple of 8413 and 8421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8413 and 8421, than apply into the LCM equation.
GCF(8413,8421) = 1
LCM(8413,8421) = ( 8413 × 8421) / 1
LCM(8413,8421) = 70845873 / 1
LCM(8413,8421) = 70845873
Properties of LCM 8413 and 8421
(i) The LCM of 8421 and 8413 is associative
LCM of 8413 and 8421 = LCM of 8421 and 8413
Related Least Common Multiples of 8413
Related Least Common Multiples of 8421
Frequently Asked Questions on LCM of 8413 and 8421
1. What is the LCM of 8413 and 8421?
Answer: LCM of 8413 and 8421 is 70845873.
2. What are the Factors of 8413?
Answer: Factors of 8413 are 1, 47, 179, 8413. There are 4 integers that are factors of 8413. The greatest factor of 8413 is 8413.
3. What are the Factors of 8421?
Answer: Factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421. There are 8 integers that are factors of 8421. The greatest factor of 8421 is 8421.
4. How to Find the LCM of 8413 and 8421?
Answer:
Least Common Multiple of 8413 and 8421 = 70845873
Step 1: Find the prime factorization of 8413
8413 = 47 x 179
Step 2: Find the prime factorization of 8421
8421 = 3 x 7 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70845873 = 3 x 7 x 47 x 179 x 401
Step 4: Therefore, the least common multiple of 8413 and 8421 is 70845873.