Least Common Multiple of 8205 and 8213
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8205 and 8213 the smallest integer that is 67387665 that is divisible by both numbers.
Least Common Multiple (LCM) of 8205 and 8213 is 67387665.
LCM(8205,8213) = 67387665
LCM of 8205 and 8213
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8205 and 8213 by Prime method
- Least Common Multiple of 8205 and 8213 with GCF Formula
LCM of 8205 and 8213 is 67387665
Least common multiple can be found by multiplying the highest exponent prime factors of 8205 and 8213. First we will calculate the prime factors of 8205 and 8213.
Prime Factorization of 8205
| 3 | 8205 |
| 5 | 2735 |
| 547 | 547 |
| 1 |
Prime factors of 8205 are 3, 5,547. Prime factorization of 8205 in exponential form is:
8205 = 31×51×5471
Prime Factorization of 8213
| 43 | 8213 |
| 191 | 191 |
| 1 |
Prime factors of 8213 are 43,191. Prime factorization of 8213 in exponential form is:
8213 = 431×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 8205 and 8213.
LCM(8205,8213) = 31×51×431×1911×5471
LCM(8205,8213) = 67387665
Factors of 8205
List of positive integer factors of 8205 that divides 8205 without a remainder.
1, 3, 5, 15, 547, 1641, 2735, 8205
Factors of 8213
List of positive integer factors of 8213 that divides 8213 without a remainder.
1, 43, 191, 8213
Least Common Multiple of 8205 and 8213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8205 and 8213, than apply into the LCM equation.
GCF(8205,8213) = 1
LCM(8205,8213) = ( 8205 × 8213) / 1
LCM(8205,8213) = 67387665 / 1
LCM(8205,8213) = 67387665
Properties of LCM 8205 and 8213
(i) The LCM of 8213 and 8205 is associative
LCM of 8205 and 8213 = LCM of 8213 and 8205
Related Least Common Multiples of 8205
Related Least Common Multiples of 8213
Frequently Asked Questions on LCM of 8205 and 8213
1. What is the LCM of 8205 and 8213?
Answer: LCM of 8205 and 8213 is 67387665.
2. What are the Factors of 8205?
Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.
3. What are the Factors of 8213?
Answer: Factors of 8213 are 1, 43, 191, 8213. There are 4 integers that are factors of 8213. The greatest factor of 8213 is 8213.
4. How to Find the LCM of 8205 and 8213?
Answer:
Least Common Multiple of 8205 and 8213 = 67387665
Step 1: Find the prime factorization of 8205
8205 = 3 x 5 x 547
Step 2: Find the prime factorization of 8213
8213 = 43 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67387665 = 3 x 5 x 43 x 191 x 547
Step 4: Therefore, the least common multiple of 8205 and 8213 is 67387665.