Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8267 and 8268 the smallest integer that is 68351556 that is divisible by both numbers.
Least Common Multiple (LCM) of 8267 and 8268 is 68351556.
LCM(8267,8268) = 68351556
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 8267 and 8268. First we will calculate the prime factors of 8267 and 8268.
Prime Factorization of 8267
7 | 8267 |
1181 | 1181 |
1 |
Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:
8267 = 71×11811
Prime Factorization of 8268
2 | 8268 |
2 | 4134 |
3 | 2067 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 8268 are 2, 3, 13,53. Prime factorization of 8268 in exponential form is:
8268 = 22×31×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 8267 and 8268.
LCM(8267,8268) = 22×31×71×131×531×11811
LCM(8267,8268) = 68351556
Factors of 8267
List of positive integer factors of 8267 that divides 8267 without a remainder.
1, 7, 1181, 8267
Factors of 8268
List of positive integer factors of 8268 that divides 8268 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8267 and 8268, than apply into the LCM equation.
GCF(8267,8268) = 1
LCM(8267,8268) = ( 8267 × 8268) / 1
LCM(8267,8268) = 68351556 / 1
LCM(8267,8268) = 68351556
(i) The LCM of 8268 and 8267 is associative
LCM of 8267 and 8268 = LCM of 8268 and 8267
1. What is the LCM of 8267 and 8268?
Answer: LCM of 8267 and 8268 is 68351556.
2. What are the Factors of 8267?
Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.
3. What are the Factors of 8268?
Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.
4. How to Find the LCM of 8267 and 8268?
Answer:
Least Common Multiple of 8267 and 8268 = 68351556
Step 1: Find the prime factorization of 8267
8267 = 7 x 1181
Step 2: Find the prime factorization of 8268
8268 = 2 x 2 x 3 x 13 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 = 68351556 = 2 x 2 x 3 x 7 x 13 x 53 x 1181
Step 4: Therefore, the least common multiple of 8267 and 8268 is 68351556.