Least Common Multiple of 8413 and 8417
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 8417 the smallest integer that is 70812221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8413 and 8417 is 70812221.
LCM(8413,8417) = 70812221
LCM of 8413 and 8417
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8413 and 8417 by Prime method
- Least Common Multiple of 8413 and 8417 with GCF Formula
LCM of 8413 and 8417 is 70812221
Least common multiple can be found by multiplying the highest exponent prime factors of 8413 and 8417. First we will calculate the prime factors of 8413 and 8417.
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 8417
| 19 | 8417 |
| 443 | 443 |
| 1 |
Prime factors of 8417 are 19,443. Prime factorization of 8417 in exponential form is:
8417 = 191×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 8413 and 8417.
LCM(8413,8417) = 191×471×1791×4431
LCM(8413,8417) = 70812221
Factors of 8413
List of positive integer factors of 8413 that divides 8413 without a remainder.
1, 47, 179, 8413
Factors of 8417
List of positive integer factors of 8417 that divides 8417 without a remainder.
1, 19, 443, 8417
Least Common Multiple of 8413 and 8417 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 8417, than apply into the LCM equation.
GCF(8413,8417) = 1
LCM(8413,8417) = ( 8413 × 8417) / 1
LCM(8413,8417) = 70812221 / 1
LCM(8413,8417) = 70812221
Properties of LCM 8413 and 8417
(i) The LCM of 8417 and 8413 is associative
LCM of 8413 and 8417 = LCM of 8417 and 8413
Related Least Common Multiples of 8413
Related Least Common Multiples of 8417
Frequently Asked Questions on LCM of 8413 and 8417
1. What is the LCM of 8413 and 8417?
Answer: LCM of 8413 and 8417 is 70812221.
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 8417?
Answer: Factors of 8417 are 1, 19, 443, 8417. There are 4 integers that are factors of 8417. The greatest factor of 8417 is 8417.
4. How to Find the LCM of 8413 and 8417?
Answer:
Least Common Multiple of 8413 and 8417 = 70812221
Step 1: Find the prime factorization of 8413
8413 = 47 x 179
Step 2: Find the prime factorization of 8417
8417 = 19 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70812221 = 19 x 47 x 179 x 443
Step 4: Therefore, the least common multiple of 8413 and 8417 is 70812221.