Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4161 and 4167 the smallest integer that is 5779629 that is divisible by both numbers.
Least Common Multiple (LCM) of 4161 and 4167 is 5779629.
LCM(4161,4167) = 5779629
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 4161 and 4167. First we will calculate the prime factors of 4161 and 4167.
Prime Factorization of 4161
3 | 4161 |
19 | 1387 |
73 | 73 |
1 |
Prime factors of 4161 are 3, 19,73. Prime factorization of 4161 in exponential form is:
4161 = 31×191×731
Prime Factorization of 4167
3 | 4167 |
3 | 1389 |
463 | 463 |
1 |
Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:
4167 = 32×4631
Now multiplying the highest exponent prime factors to calculate the LCM of 4161 and 4167.
LCM(4161,4167) = 32×191×731×4631
LCM(4161,4167) = 5779629
Factors of 4161
List of positive integer factors of 4161 that divides 4161 without a remainder.
1, 3, 19, 57, 73, 219, 1387, 4161
Factors of 4167
List of positive integer factors of 4167 that divides 4167 without a remainder.
1, 3, 9, 463, 1389, 4167
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4161 and 4167, than apply into the LCM equation.
GCF(4161,4167) = 3
LCM(4161,4167) = ( 4161 × 4167) / 3
LCM(4161,4167) = 17338887 / 3
LCM(4161,4167) = 5779629
(i) The LCM of 4167 and 4161 is associative
LCM of 4161 and 4167 = LCM of 4167 and 4161
1. What is the LCM of 4161 and 4167?
Answer: LCM of 4161 and 4167 is 5779629.
2. What are the Factors of 4161?
Answer: Factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161. There are 8 integers that are factors of 4161. The greatest factor of 4161 is 4161.
3. What are the Factors of 4167?
Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.
4. How to Find the LCM of 4161 and 4167?
Answer:
Least Common Multiple of 4161 and 4167 = 5779629
Step 1: Find the prime factorization of 4161
4161 = 3 x 19 x 73
Step 2: Find the prime factorization of 4167
4167 = 3 x 3 x 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5779629 = 3 x 3 x 19 x 73 x 463
Step 4: Therefore, the least common multiple of 4161 and 4167 is 5779629.