Least Common Multiple of 8203 and 8207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8203 and 8207 the smallest integer that is 67322021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8203 and 8207 is 67322021.
LCM(8203,8207) = 67322021
LCM of 8203 and 8207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8203 and 8207 by Prime method
- Least Common Multiple of 8203 and 8207 with GCF Formula
LCM of 8203 and 8207 is 67322021
Least common multiple can be found by multiplying the highest exponent prime factors of 8203 and 8207. First we will calculate the prime factors of 8203 and 8207.
Prime Factorization of 8203
| 13 | 8203 |
| 631 | 631 |
| 1 |
Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:
8203 = 131×6311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8203 and 8207.
LCM(8203,8207) = 131×291×2831×6311
LCM(8203,8207) = 67322021
Factors of 8203
List of positive integer factors of 8203 that divides 8203 without a remainder.
1, 13, 631, 8203
Factors of 8207
List of positive integer factors of 8207 that divides 8207 without a remainder.
1, 29, 283, 8207
Least Common Multiple of 8203 and 8207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8203 and 8207, than apply into the LCM equation.
GCF(8203,8207) = 1
LCM(8203,8207) = ( 8203 × 8207) / 1
LCM(8203,8207) = 67322021 / 1
LCM(8203,8207) = 67322021
Properties of LCM 8203 and 8207
(i) The LCM of 8207 and 8203 is associative
LCM of 8203 and 8207 = LCM of 8207 and 8203
Related Least Common Multiples of 8203
Related Least Common Multiples of 8207
Frequently Asked Questions on LCM of 8203 and 8207
1. What is the LCM of 8203 and 8207?
Answer: LCM of 8203 and 8207 is 67322021.
2. What are the Factors of 8203?
Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.
3. 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.
4. How to Find the LCM of 8203 and 8207?
Answer:
Least Common Multiple of 8203 and 8207 = 67322021
Step 1: Find the prime factorization of 8203
8203 = 13 x 631
Step 2: Find the prime factorization of 8207
8207 = 29 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67322021 = 13 x 29 x 283 x 631
Step 4: Therefore, the least common multiple of 8203 and 8207 is 67322021.