Least Common Multiple of 8211 and 8215
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 8215 the smallest integer that is 67453365 that is divisible by both numbers.
Least Common Multiple (LCM) of 8211 and 8215 is 67453365.
LCM(8211,8215) = 67453365
LCM of 8211 and 8215
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8211 and 8215 by Prime method
- Least Common Multiple of 8211 and 8215 with GCF Formula
LCM of 8211 and 8215 is 67453365
Least common multiple can be found by multiplying the highest exponent prime factors of 8211 and 8215. First we will calculate the prime factors of 8211 and 8215.
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 8215
| 5 | 8215 |
| 31 | 1643 |
| 53 | 53 |
| 1 |
Prime factors of 8215 are 5, 31,53. Prime factorization of 8215 in exponential form is:
8215 = 51×311×531
Now multiplying the highest exponent prime factors to calculate the LCM of 8211 and 8215.
LCM(8211,8215) = 31×51×71×171×231×311×531
LCM(8211,8215) = 67453365
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 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1, 5, 31, 53, 155, 265, 1643, 8215
Least Common Multiple of 8211 and 8215 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 8215, than apply into the LCM equation.
GCF(8211,8215) = 1
LCM(8211,8215) = ( 8211 × 8215) / 1
LCM(8211,8215) = 67453365 / 1
LCM(8211,8215) = 67453365
Properties of LCM 8211 and 8215
(i) The LCM of 8215 and 8211 is associative
LCM of 8211 and 8215 = LCM of 8215 and 8211
Related Least Common Multiples of 8211
Related Least Common Multiples of 8215
Frequently Asked Questions on LCM of 8211 and 8215
1. What is the LCM of 8211 and 8215?
Answer: LCM of 8211 and 8215 is 67453365.
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 8215?
Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.
4. How to Find the LCM of 8211 and 8215?
Answer:
Least Common Multiple of 8211 and 8215 = 67453365
Step 1: Find the prime factorization of 8211
8211 = 3 x 7 x 17 x 23
Step 2: Find the prime factorization of 8215
8215 = 5 x 31 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67453365 = 3 x 5 x 7 x 17 x 23 x 31 x 53
Step 4: Therefore, the least common multiple of 8211 and 8215 is 67453365.