Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8671 and 8678 the smallest integer that is 75246938 that is divisible by both numbers.
Least Common Multiple (LCM) of 8671 and 8678 is 75246938.
LCM(8671,8678) = 75246938
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 8671 and 8678. First we will calculate the prime factors of 8671 and 8678.
Prime Factorization of 8671
13 | 8671 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 8671 are 13, 23,29. Prime factorization of 8671 in exponential form is:
8671 = 131×231×291
Prime Factorization of 8678
2 | 8678 |
4339 | 4339 |
1 |
Prime factors of 8678 are 2,4339. Prime factorization of 8678 in exponential form is:
8678 = 21×43391
Now multiplying the highest exponent prime factors to calculate the LCM of 8671 and 8678.
LCM(8671,8678) = 21×131×231×291×43391
LCM(8671,8678) = 75246938
Factors of 8671
List of positive integer factors of 8671 that divides 8671 without a remainder.
1, 13, 23, 29, 299, 377, 667, 8671
Factors of 8678
List of positive integer factors of 8678 that divides 8678 without a remainder.
1, 2, 4339, 8678
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8671 and 8678, than apply into the LCM equation.
GCF(8671,8678) = 1
LCM(8671,8678) = ( 8671 × 8678) / 1
LCM(8671,8678) = 75246938 / 1
LCM(8671,8678) = 75246938
(i) The LCM of 8678 and 8671 is associative
LCM of 8671 and 8678 = LCM of 8678 and 8671
1. What is the LCM of 8671 and 8678?
Answer: LCM of 8671 and 8678 is 75246938.
2. What are the Factors of 8671?
Answer: Factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671. There are 8 integers that are factors of 8671. The greatest factor of 8671 is 8671.
3. What are the Factors of 8678?
Answer: Factors of 8678 are 1, 2, 4339, 8678. There are 4 integers that are factors of 8678. The greatest factor of 8678 is 8678.
4. How to Find the LCM of 8671 and 8678?
Answer:
Least Common Multiple of 8671 and 8678 = 75246938
Step 1: Find the prime factorization of 8671
8671 = 13 x 23 x 29
Step 2: Find the prime factorization of 8678
8678 = 2 x 4339
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75246938 = 2 x 13 x 23 x 29 x 4339
Step 4: Therefore, the least common multiple of 8671 and 8678 is 75246938.