Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8215 and 8218 the smallest integer that is 67510870 that is divisible by both numbers.
Least Common Multiple (LCM) of 8215 and 8218 is 67510870.
LCM(8215,8218) = 67510870
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 8215 and 8218. First we will calculate the prime factors of 8215 and 8218.
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
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 8215 and 8218.
LCM(8215,8218) = 21×51×71×311×531×5871
LCM(8215,8218) = 67510870
Factors of 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1, 5, 31, 53, 155, 265, 1643, 8215
Factors of 8218
List of positive integer factors of 8218 that divides 8218 without a remainder.
1, 2, 7, 14, 587, 1174, 4109, 8218
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8215 and 8218, than apply into the LCM equation.
GCF(8215,8218) = 1
LCM(8215,8218) = ( 8215 × 8218) / 1
LCM(8215,8218) = 67510870 / 1
LCM(8215,8218) = 67510870
(i) The LCM of 8218 and 8215 is associative
LCM of 8215 and 8218 = LCM of 8218 and 8215
1. What is the LCM of 8215 and 8218?
Answer: LCM of 8215 and 8218 is 67510870.
2. 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.
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 8215 and 8218?
Answer:
Least Common Multiple of 8215 and 8218 = 67510870
Step 1: Find the prime factorization of 8215
8215 = 5 x 31 x 53
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 = 67510870 = 2 x 5 x 7 x 31 x 53 x 587
Step 4: Therefore, the least common multiple of 8215 and 8218 is 67510870.