Least Common Multiple of 8207 and 8215
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 8215 the smallest integer that is 67420505 that is divisible by both numbers.
Least Common Multiple (LCM) of 8207 and 8215 is 67420505.
LCM(8207,8215) = 67420505
LCM of 8207 and 8215
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8207 and 8215 by Prime method
- Least Common Multiple of 8207 and 8215 with GCF Formula
LCM of 8207 and 8215 is 67420505
Least common multiple can be found by multiplying the highest exponent prime factors of 8207 and 8215. First we will calculate the prime factors of 8207 and 8215.
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 8215
| 5 | 8215 |
| 31 | 1643 |
| 53 | 53 |
| 1 |
Prime factors of 8215 are 5, 31,53. Prime factorization of 8215 in exponential form is:
8215 = 51×311×531
Now multiplying the highest exponent prime factors to calculate the LCM of 8207 and 8215.
LCM(8207,8215) = 51×291×311×531×2831
LCM(8207,8215) = 67420505
Factors of 8207
List of positive integer factors of 8207 that divides 8207 without a remainder.
1, 29, 283, 8207
Factors of 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1, 5, 31, 53, 155, 265, 1643, 8215
Least Common Multiple of 8207 and 8215 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 8215, than apply into the LCM equation.
GCF(8207,8215) = 1
LCM(8207,8215) = ( 8207 × 8215) / 1
LCM(8207,8215) = 67420505 / 1
LCM(8207,8215) = 67420505
Properties of LCM 8207 and 8215
(i) The LCM of 8215 and 8207 is associative
LCM of 8207 and 8215 = LCM of 8215 and 8207
Related Least Common Multiples of 8207
Related Least Common Multiples of 8215
Frequently Asked Questions on LCM of 8207 and 8215
1. What is the LCM of 8207 and 8215?
Answer: LCM of 8207 and 8215 is 67420505.
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 8215?
Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.
4. How to Find the LCM of 8207 and 8215?
Answer:
Least Common Multiple of 8207 and 8215 = 67420505
Step 1: Find the prime factorization of 8207
8207 = 29 x 283
Step 2: Find the prime factorization of 8215
8215 = 5 x 31 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67420505 = 5 x 29 x 31 x 53 x 283
Step 4: Therefore, the least common multiple of 8207 and 8215 is 67420505.