Least Common Multiple of 8214 and 8217
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8214 and 8217 the smallest integer that is 22498146 that is divisible by both numbers.
Least Common Multiple (LCM) of 8214 and 8217 is 22498146.
LCM(8214,8217) = 22498146
LCM of 8214 and 8217
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8214 and 8217 by Prime method
- Least Common Multiple of 8214 and 8217 with GCF Formula
LCM of 8214 and 8217 is 22498146
Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8217. First we will calculate the prime factors of 8214 and 8217.
Prime Factorization of 8214
| 2 | 8214 |
| 3 | 4107 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 8214 are 2, 3,37. Prime factorization of 8214 in exponential form is:
8214 = 21×31×372
Prime Factorization of 8217
| 3 | 8217 |
| 3 | 2739 |
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:
8217 = 32×111×831
Now multiplying the highest exponent prime factors to calculate the LCM of 8214 and 8217.
LCM(8214,8217) = 21×32×111×372×831
LCM(8214,8217) = 22498146
Factors of 8214
List of positive integer factors of 8214 that divides 8214 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214
Factors of 8217
List of positive integer factors of 8217 that divides 8217 without a remainder.
1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
Least Common Multiple of 8214 and 8217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8214 and 8217, than apply into the LCM equation.
GCF(8214,8217) = 3
LCM(8214,8217) = ( 8214 × 8217) / 3
LCM(8214,8217) = 67494438 / 3
LCM(8214,8217) = 22498146
Properties of LCM 8214 and 8217
(i) The LCM of 8217 and 8214 is associative
LCM of 8214 and 8217 = LCM of 8217 and 8214
Related Least Common Multiples of 8214
Related Least Common Multiples of 8217
Frequently Asked Questions on LCM of 8214 and 8217
1. What is the LCM of 8214 and 8217?
Answer: LCM of 8214 and 8217 is 22498146.
2. What are the Factors of 8214?
Answer: Factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214. There are 12 integers that are factors of 8214. The greatest factor of 8214 is 8214.
3. What are the Factors of 8217?
Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.
4. How to Find the LCM of 8214 and 8217?
Answer:
Least Common Multiple of 8214 and 8217 = 22498146
Step 1: Find the prime factorization of 8214
8214 = 2 x 3 x 37 x 37
Step 2: Find the prime factorization of 8217
8217 = 3 x 3 x 11 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22498146 = 2 x 3 x 3 x 11 x 37 x 37 x 83
Step 4: Therefore, the least common multiple of 8214 and 8217 is 22498146.