Least Common Multiple of 8211 and 8218
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 8218 the smallest integer that is 9639714 that is divisible by both numbers.
Least Common Multiple (LCM) of 8211 and 8218 is 9639714.
LCM(8211,8218) = 9639714
LCM of 8211 and 8218
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8211 and 8218 by Prime method
- Least Common Multiple of 8211 and 8218 with GCF Formula
LCM of 8211 and 8218 is 9639714
Least common multiple can be found by multiplying the highest exponent prime factors of 8211 and 8218. First we will calculate the prime factors of 8211 and 8218.
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 8218
| 2 | 8218 |
| 7 | 4109 |
| 587 | 587 |
| 1 |
Prime factors of 8218 are 2, 7,587. Prime factorization of 8218 in exponential form is:
8218 = 21×71×5871
Now multiplying the highest exponent prime factors to calculate the LCM of 8211 and 8218.
LCM(8211,8218) = 21×31×71×171×231×5871
LCM(8211,8218) = 9639714
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 8218
List of positive integer factors of 8218 that divides 8218 without a remainder.
1, 2, 7, 14, 587, 1174, 4109, 8218
Least Common Multiple of 8211 and 8218 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 8218, than apply into the LCM equation.
GCF(8211,8218) = 7
LCM(8211,8218) = ( 8211 × 8218) / 7
LCM(8211,8218) = 67477998 / 7
LCM(8211,8218) = 9639714
Properties of LCM 8211 and 8218
(i) The LCM of 8218 and 8211 is associative
LCM of 8211 and 8218 = LCM of 8218 and 8211
Related Least Common Multiples of 8211
Related Least Common Multiples of 8218
Frequently Asked Questions on LCM of 8211 and 8218
1. What is the LCM of 8211 and 8218?
Answer: LCM of 8211 and 8218 is 9639714.
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 8218?
Answer: Factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218. There are 8 integers that are factors of 8218. The greatest factor of 8218 is 8218.
4. How to Find the LCM of 8211 and 8218?
Answer:
Least Common Multiple of 8211 and 8218 = 9639714
Step 1: Find the prime factorization of 8211
8211 = 3 x 7 x 17 x 23
Step 2: Find the prime factorization of 8218
8218 = 2 x 7 x 587
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9639714 = 2 x 3 x 7 x 17 x 23 x 587
Step 4: Therefore, the least common multiple of 8211 and 8218 is 9639714.