Least Common Multiple of 8211 and 8219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8211 and 8219 the smallest integer that is 67486209 that is divisible by both numbers.
Least Common Multiple (LCM) of 8211 and 8219 is 67486209.
LCM(8211,8219) = 67486209
LCM of 8211 and 8219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8211 and 8219 by Prime method
- Least Common Multiple of 8211 and 8219 with GCF Formula
LCM of 8211 and 8219 is 67486209
Least common multiple can be found by multiplying the highest exponent prime factors of 8211 and 8219. First we will calculate the prime factors of 8211 and 8219.
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
Prime Factorization of 8219
| 8219 | 8219 |
| 1 |
Prime factors of 8219 are 8219. Prime factorization of 8219 in exponential form is:
8219 = 82191
Now multiplying the highest exponent prime factors to calculate the LCM of 8211 and 8219.
LCM(8211,8219) = 31×71×171×231×82191
LCM(8211,8219) = 67486209
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
Factors of 8219
List of positive integer factors of 8219 that divides 8219 without a remainder.
1, 8219
Least Common Multiple of 8211 and 8219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8211 and 8219, than apply into the LCM equation.
GCF(8211,8219) = 1
LCM(8211,8219) = ( 8211 × 8219) / 1
LCM(8211,8219) = 67486209 / 1
LCM(8211,8219) = 67486209
Properties of LCM 8211 and 8219
(i) The LCM of 8219 and 8211 is associative
LCM of 8211 and 8219 = LCM of 8219 and 8211
Related Least Common Multiples of 8211
Related Least Common Multiples of 8219
Frequently Asked Questions on LCM of 8211 and 8219
1. What is the LCM of 8211 and 8219?
Answer: LCM of 8211 and 8219 is 67486209.
2. 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.
3. What are the Factors of 8219?
Answer: Factors of 8219 are 1, 8219. There are 2 integers that are factors of 8219. The greatest factor of 8219 is 8219.
4. How to Find the LCM of 8211 and 8219?
Answer:
Least Common Multiple of 8211 and 8219 = 67486209
Step 1: Find the prime factorization of 8211
8211 = 3 x 7 x 17 x 23
Step 2: Find the prime factorization of 8219
8219 = 8219
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67486209 = 3 x 7 x 17 x 23 x 8219
Step 4: Therefore, the least common multiple of 8211 and 8219 is 67486209.