Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8161 and 8164 the smallest integer that is 66626404 that is divisible by both numbers.
Least Common Multiple (LCM) of 8161 and 8164 is 66626404.
LCM(8161,8164) = 66626404
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 8161 and 8164. First we will calculate the prime factors of 8161 and 8164.
Prime Factorization of 8161
8161 | 8161 |
1 |
Prime factors of 8161 are 8161. Prime factorization of 8161 in exponential form is:
8161 = 81611
Prime Factorization of 8164
2 | 8164 |
2 | 4082 |
13 | 2041 |
157 | 157 |
1 |
Prime factors of 8164 are 2, 13,157. Prime factorization of 8164 in exponential form is:
8164 = 22×131×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 8161 and 8164.
LCM(8161,8164) = 22×131×1571×81611
LCM(8161,8164) = 66626404
Factors of 8161
List of positive integer factors of 8161 that divides 8161 without a remainder.
1, 8161
Factors of 8164
List of positive integer factors of 8164 that divides 8164 without a remainder.
1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8161 and 8164, than apply into the LCM equation.
GCF(8161,8164) = 1
LCM(8161,8164) = ( 8161 × 8164) / 1
LCM(8161,8164) = 66626404 / 1
LCM(8161,8164) = 66626404
(i) The LCM of 8164 and 8161 is associative
LCM of 8161 and 8164 = LCM of 8164 and 8161
1. What is the LCM of 8161 and 8164?
Answer: LCM of 8161 and 8164 is 66626404.
2. What are the Factors of 8161?
Answer: Factors of 8161 are 1, 8161. There are 2 integers that are factors of 8161. The greatest factor of 8161 is 8161.
3. What are the Factors of 8164?
Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.
4. How to Find the LCM of 8161 and 8164?
Answer:
Least Common Multiple of 8161 and 8164 = 66626404
Step 1: Find the prime factorization of 8161
8161 = 8161
Step 2: Find the prime factorization of 8164
8164 = 2 x 2 x 13 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66626404 = 2 x 2 x 13 x 157 x 8161
Step 4: Therefore, the least common multiple of 8161 and 8164 is 66626404.