Least Common Multiple of 8206 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 8206 and 8213 the smallest integer that is 67395878 that is divisible by both numbers.
Least Common Multiple (LCM) of 8206 and 8213 is 67395878.
LCM(8206,8213) = 67395878
LCM of 8206 and 8213
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8206 and 8213 by Prime method
- Least Common Multiple of 8206 and 8213 with GCF Formula
LCM of 8206 and 8213 is 67395878
Least common multiple can be found by multiplying the highest exponent prime factors of 8206 and 8213. First we will calculate the prime factors of 8206 and 8213.
Prime Factorization of 8206
| 2 | 8206 |
| 11 | 4103 |
| 373 | 373 |
| 1 |
Prime factors of 8206 are 2, 11,373. Prime factorization of 8206 in exponential form is:
8206 = 21×111×3731
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 8206 and 8213.
LCM(8206,8213) = 21×111×431×1911×3731
LCM(8206,8213) = 67395878
Factors of 8206
List of positive integer factors of 8206 that divides 8206 without a remainder.
1, 2, 11, 22, 373, 746, 4103, 8206
Factors of 8213
List of positive integer factors of 8213 that divides 8213 without a remainder.
1, 43, 191, 8213
Least Common Multiple of 8206 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 8206 and 8213, than apply into the LCM equation.
GCF(8206,8213) = 1
LCM(8206,8213) = ( 8206 × 8213) / 1
LCM(8206,8213) = 67395878 / 1
LCM(8206,8213) = 67395878
Properties of LCM 8206 and 8213
(i) The LCM of 8213 and 8206 is associative
LCM of 8206 and 8213 = LCM of 8213 and 8206
Related Least Common Multiples of 8206
Related Least Common Multiples of 8213
Frequently Asked Questions on LCM of 8206 and 8213
1. What is the LCM of 8206 and 8213?
Answer: LCM of 8206 and 8213 is 67395878.
2. What are the Factors of 8206?
Answer: Factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206. There are 8 integers that are factors of 8206. The greatest factor of 8206 is 8206.
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 8206 and 8213?
Answer:
Least Common Multiple of 8206 and 8213 = 67395878
Step 1: Find the prime factorization of 8206
8206 = 2 x 11 x 373
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 = 67395878 = 2 x 11 x 43 x 191 x 373
Step 4: Therefore, the least common multiple of 8206 and 8213 is 67395878.