Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8182 and 8188 the smallest integer that is 33497108 that is divisible by both numbers.
Least Common Multiple (LCM) of 8182 and 8188 is 33497108.
LCM(8182,8188) = 33497108
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 8182 and 8188. First we will calculate the prime factors of 8182 and 8188.
Prime Factorization of 8182
2 | 8182 |
4091 | 4091 |
1 |
Prime factors of 8182 are 2,4091. Prime factorization of 8182 in exponential form is:
8182 = 21×40911
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 8182 and 8188.
LCM(8182,8188) = 22×231×891×40911
LCM(8182,8188) = 33497108
Factors of 8182
List of positive integer factors of 8182 that divides 8182 without a remainder.
1, 2, 4091, 8182
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 8182 and 8188, than apply into the LCM equation.
GCF(8182,8188) = 2
LCM(8182,8188) = ( 8182 × 8188) / 2
LCM(8182,8188) = 66994216 / 2
LCM(8182,8188) = 33497108
(i) The LCM of 8188 and 8182 is associative
LCM of 8182 and 8188 = LCM of 8188 and 8182
1. What is the LCM of 8182 and 8188?
Answer: LCM of 8182 and 8188 is 33497108.
2. What are the Factors of 8182?
Answer: Factors of 8182 are 1, 2, 4091, 8182. There are 4 integers that are factors of 8182. The greatest factor of 8182 is 8182.
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 8182 and 8188?
Answer:
Least Common Multiple of 8182 and 8188 = 33497108
Step 1: Find the prime factorization of 8182
8182 = 2 x 4091
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 = 33497108 = 2 x 2 x 23 x 89 x 4091
Step 4: Therefore, the least common multiple of 8182 and 8188 is 33497108.