Least Common Multiple of 8203 and 8211
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 8211 the smallest integer that is 67354833 that is divisible by both numbers.
Least Common Multiple (LCM) of 8203 and 8211 is 67354833.
LCM(8203,8211) = 67354833
LCM of 8203 and 8211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8203 and 8211 by Prime method
- Least Common Multiple of 8203 and 8211 with GCF Formula
LCM of 8203 and 8211 is 67354833
Least common multiple can be found by multiplying the highest exponent prime factors of 8203 and 8211. First we will calculate the prime factors of 8203 and 8211.
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 8211
| 3 | 8211 |
| 7 | 2737 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 8211 are 3, 7, 17,23. Prime factorization of 8211 in exponential form is:
8211 = 31×71×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8203 and 8211.
LCM(8203,8211) = 31×71×131×171×231×6311
LCM(8203,8211) = 67354833
Factors of 8203
List of positive integer factors of 8203 that divides 8203 without a remainder.
1, 13, 631, 8203
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211
Least Common Multiple of 8203 and 8211 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 8211, than apply into the LCM equation.
GCF(8203,8211) = 1
LCM(8203,8211) = ( 8203 × 8211) / 1
LCM(8203,8211) = 67354833 / 1
LCM(8203,8211) = 67354833
Properties of LCM 8203 and 8211
(i) The LCM of 8211 and 8203 is associative
LCM of 8203 and 8211 = LCM of 8211 and 8203
Related Least Common Multiples of 8203
Related Least Common Multiples of 8211
Frequently Asked Questions on LCM of 8203 and 8211
1. What is the LCM of 8203 and 8211?
Answer: LCM of 8203 and 8211 is 67354833.
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 8211?
Answer: Factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211. There are 16 integers that are factors of 8211. The greatest factor of 8211 is 8211.
4. How to Find the LCM of 8203 and 8211?
Answer:
Least Common Multiple of 8203 and 8211 = 67354833
Step 1: Find the prime factorization of 8203
8203 = 13 x 631
Step 2: Find the prime factorization of 8211
8211 = 3 x 7 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67354833 = 3 x 7 x 13 x 17 x 23 x 631
Step 4: Therefore, the least common multiple of 8203 and 8211 is 67354833.