Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8187 and 8194 the smallest integer that is 67084278 that is divisible by both numbers.
Least Common Multiple (LCM) of 8187 and 8194 is 67084278.
LCM(8187,8194) = 67084278
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 8187 and 8194. First we will calculate the prime factors of 8187 and 8194.
Prime Factorization of 8187
3 | 8187 |
2729 | 2729 |
1 |
Prime factors of 8187 are 3,2729. Prime factorization of 8187 in exponential form is:
8187 = 31×27291
Prime Factorization of 8194
2 | 8194 |
17 | 4097 |
241 | 241 |
1 |
Prime factors of 8194 are 2, 17,241. Prime factorization of 8194 in exponential form is:
8194 = 21×171×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 8187 and 8194.
LCM(8187,8194) = 21×31×171×2411×27291
LCM(8187,8194) = 67084278
Factors of 8187
List of positive integer factors of 8187 that divides 8187 without a remainder.
1, 3, 2729, 8187
Factors of 8194
List of positive integer factors of 8194 that divides 8194 without a remainder.
1, 2, 17, 34, 241, 482, 4097, 8194
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8187 and 8194, than apply into the LCM equation.
GCF(8187,8194) = 1
LCM(8187,8194) = ( 8187 × 8194) / 1
LCM(8187,8194) = 67084278 / 1
LCM(8187,8194) = 67084278
(i) The LCM of 8194 and 8187 is associative
LCM of 8187 and 8194 = LCM of 8194 and 8187
1. What is the LCM of 8187 and 8194?
Answer: LCM of 8187 and 8194 is 67084278.
2. What are the Factors of 8187?
Answer: Factors of 8187 are 1, 3, 2729, 8187. There are 4 integers that are factors of 8187. The greatest factor of 8187 is 8187.
3. What are the Factors of 8194?
Answer: Factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194. There are 8 integers that are factors of 8194. The greatest factor of 8194 is 8194.
4. How to Find the LCM of 8187 and 8194?
Answer:
Least Common Multiple of 8187 and 8194 = 67084278
Step 1: Find the prime factorization of 8187
8187 = 3 x 2729
Step 2: Find the prime factorization of 8194
8194 = 2 x 17 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67084278 = 2 x 3 x 17 x 241 x 2729
Step 4: Therefore, the least common multiple of 8187 and 8194 is 67084278.