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 8193 the smallest integer that is 22358697 that is divisible by both numbers.
Least Common Multiple (LCM) of 8187 and 8193 is 22358697.
LCM(8187,8193) = 22358697
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 8193. First we will calculate the prime factors of 8187 and 8193.
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 8193
3 | 8193 |
2731 | 2731 |
1 |
Prime factors of 8193 are 3,2731. Prime factorization of 8193 in exponential form is:
8193 = 31×27311
Now multiplying the highest exponent prime factors to calculate the LCM of 8187 and 8193.
LCM(8187,8193) = 31×27291×27311
LCM(8187,8193) = 22358697
Factors of 8187
List of positive integer factors of 8187 that divides 8187 without a remainder.
1, 3, 2729, 8187
Factors of 8193
List of positive integer factors of 8193 that divides 8193 without a remainder.
1, 3, 2731, 8193
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8187 and 8193, than apply into the LCM equation.
GCF(8187,8193) = 3
LCM(8187,8193) = ( 8187 × 8193) / 3
LCM(8187,8193) = 67076091 / 3
LCM(8187,8193) = 22358697
(i) The LCM of 8193 and 8187 is associative
LCM of 8187 and 8193 = LCM of 8193 and 8187
1. What is the LCM of 8187 and 8193?
Answer: LCM of 8187 and 8193 is 22358697.
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 8193?
Answer: Factors of 8193 are 1, 3, 2731, 8193. There are 4 integers that are factors of 8193. The greatest factor of 8193 is 8193.
4. How to Find the LCM of 8187 and 8193?
Answer:
Least Common Multiple of 8187 and 8193 = 22358697
Step 1: Find the prime factorization of 8187
8187 = 3 x 2729
Step 2: Find the prime factorization of 8193
8193 = 3 x 2731
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22358697 = 3 x 2729 x 2731
Step 4: Therefore, the least common multiple of 8187 and 8193 is 22358697.