Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8181 and 8188 the smallest integer that is 66986028 that is divisible by both numbers.
Least Common Multiple (LCM) of 8181 and 8188 is 66986028.
LCM(8181,8188) = 66986028
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 8181 and 8188. First we will calculate the prime factors of 8181 and 8188.
Prime Factorization of 8181
3 | 8181 |
3 | 2727 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:
8181 = 34×1011
Prime Factorization of 8188
2 | 8188 |
2 | 4094 |
23 | 2047 |
89 | 89 |
1 |
Prime factors of 8188 are 2, 23,89. Prime factorization of 8188 in exponential form is:
8188 = 22×231×891
Now multiplying the highest exponent prime factors to calculate the LCM of 8181 and 8188.
LCM(8181,8188) = 22×34×231×891×1011
LCM(8181,8188) = 66986028
Factors of 8181
List of positive integer factors of 8181 that divides 8181 without a remainder.
1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
Factors of 8188
List of positive integer factors of 8188 that divides 8188 without a remainder.
1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8181 and 8188, than apply into the LCM equation.
GCF(8181,8188) = 1
LCM(8181,8188) = ( 8181 × 8188) / 1
LCM(8181,8188) = 66986028 / 1
LCM(8181,8188) = 66986028
(i) The LCM of 8188 and 8181 is associative
LCM of 8181 and 8188 = LCM of 8188 and 8181
1. What is the LCM of 8181 and 8188?
Answer: LCM of 8181 and 8188 is 66986028.
2. What are the Factors of 8181?
Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.
3. What are the Factors of 8188?
Answer: Factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188. There are 12 integers that are factors of 8188. The greatest factor of 8188 is 8188.
4. How to Find the LCM of 8181 and 8188?
Answer:
Least Common Multiple of 8181 and 8188 = 66986028
Step 1: Find the prime factorization of 8181
8181 = 3 x 3 x 3 x 3 x 101
Step 2: Find the prime factorization of 8188
8188 = 2 x 2 x 23 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66986028 = 2 x 2 x 3 x 3 x 3 x 3 x 23 x 89 x 101
Step 4: Therefore, the least common multiple of 8181 and 8188 is 66986028.