Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8218 and 8222 the smallest integer that is 33784198 that is divisible by both numbers.
Least Common Multiple (LCM) of 8218 and 8222 is 33784198.
LCM(8218,8222) = 33784198
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8218 and 8222. First we will calculate the prime factors of 8218 and 8222.
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
Prime Factorization of 8222
2 | 8222 |
4111 | 4111 |
1 |
Prime factors of 8222 are 2,4111. Prime factorization of 8222 in exponential form is:
8222 = 21×41111
Now multiplying the highest exponent prime factors to calculate the LCM of 8218 and 8222.
LCM(8218,8222) = 21×71×5871×41111
LCM(8218,8222) = 33784198
Factors of 8218
List of positive integer factors of 8218 that divides 8218 without a remainder.
1, 2, 7, 14, 587, 1174, 4109, 8218
Factors of 8222
List of positive integer factors of 8222 that divides 8222 without a remainder.
1, 2, 4111, 8222
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8218 and 8222, than apply into the LCM equation.
GCF(8218,8222) = 2
LCM(8218,8222) = ( 8218 × 8222) / 2
LCM(8218,8222) = 67568396 / 2
LCM(8218,8222) = 33784198
(i) The LCM of 8222 and 8218 is associative
LCM of 8218 and 8222 = LCM of 8222 and 8218
1. What is the LCM of 8218 and 8222?
Answer: LCM of 8218 and 8222 is 33784198.
2. 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.
3. What are the Factors of 8222?
Answer: Factors of 8222 are 1, 2, 4111, 8222. There are 4 integers that are factors of 8222. The greatest factor of 8222 is 8222.
4. How to Find the LCM of 8218 and 8222?
Answer:
Least Common Multiple of 8218 and 8222 = 33784198
Step 1: Find the prime factorization of 8218
8218 = 2 x 7 x 587
Step 2: Find the prime factorization of 8222
8222 = 2 x 4111
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33784198 = 2 x 7 x 587 x 4111
Step 4: Therefore, the least common multiple of 8218 and 8222 is 33784198.