Least Common Multiple of 8207 and 8214
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8207 and 8214 the smallest integer that is 67412298 that is divisible by both numbers.
Least Common Multiple (LCM) of 8207 and 8214 is 67412298.
LCM(8207,8214) = 67412298
LCM of 8207 and 8214
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8207 and 8214 by Prime method
- Least Common Multiple of 8207 and 8214 with GCF Formula
LCM of 8207 and 8214 is 67412298
Least common multiple can be found by multiplying the highest exponent prime factors of 8207 and 8214. First we will calculate the prime factors of 8207 and 8214.
Prime Factorization of 8207
| 29 | 8207 |
| 283 | 283 |
| 1 |
Prime factors of 8207 are 29,283. Prime factorization of 8207 in exponential form is:
8207 = 291×2831
Prime Factorization of 8214
| 2 | 8214 |
| 3 | 4107 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 8214 are 2, 3,37. Prime factorization of 8214 in exponential form is:
8214 = 21×31×372
Now multiplying the highest exponent prime factors to calculate the LCM of 8207 and 8214.
LCM(8207,8214) = 21×31×291×372×2831
LCM(8207,8214) = 67412298
Factors of 8207
List of positive integer factors of 8207 that divides 8207 without a remainder.
1, 29, 283, 8207
Factors of 8214
List of positive integer factors of 8214 that divides 8214 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214
Least Common Multiple of 8207 and 8214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8207 and 8214, than apply into the LCM equation.
GCF(8207,8214) = 1
LCM(8207,8214) = ( 8207 × 8214) / 1
LCM(8207,8214) = 67412298 / 1
LCM(8207,8214) = 67412298
Properties of LCM 8207 and 8214
(i) The LCM of 8214 and 8207 is associative
LCM of 8207 and 8214 = LCM of 8214 and 8207
Related Least Common Multiples of 8207
Related Least Common Multiples of 8214
Frequently Asked Questions on LCM of 8207 and 8214
1. What is the LCM of 8207 and 8214?
Answer: LCM of 8207 and 8214 is 67412298.
2. What are the Factors of 8207?
Answer: Factors of 8207 are 1, 29, 283, 8207. There are 4 integers that are factors of 8207. The greatest factor of 8207 is 8207.
3. What are the Factors of 8214?
Answer: Factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214. There are 12 integers that are factors of 8214. The greatest factor of 8214 is 8214.
4. How to Find the LCM of 8207 and 8214?
Answer:
Least Common Multiple of 8207 and 8214 = 67412298
Step 1: Find the prime factorization of 8207
8207 = 29 x 283
Step 2: Find the prime factorization of 8214
8214 = 2 x 3 x 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67412298 = 2 x 3 x 29 x 37 x 37 x 283
Step 4: Therefore, the least common multiple of 8207 and 8214 is 67412298.