Least Common Multiple of 4081 and 4087
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4081 and 4087 the smallest integer that is 16679047 that is divisible by both numbers.
Least Common Multiple (LCM) of 4081 and 4087 is 16679047.
LCM(4081,4087) = 16679047
LCM of 4081 and 4087
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4081 and 4087 by Prime method
- Least Common Multiple of 4081 and 4087 with GCF Formula
LCM of 4081 and 4087 is 16679047
Least common multiple can be found by multiplying the highest exponent prime factors of 4081 and 4087. First we will calculate the prime factors of 4081 and 4087.
Prime Factorization of 4081
| 7 | 4081 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 4081 are 7, 11,53. Prime factorization of 4081 in exponential form is:
4081 = 71×111×531
Prime Factorization of 4087
| 61 | 4087 |
| 67 | 67 |
| 1 |
Prime factors of 4087 are 61,67. Prime factorization of 4087 in exponential form is:
4087 = 611×671
Now multiplying the highest exponent prime factors to calculate the LCM of 4081 and 4087.
LCM(4081,4087) = 71×111×531×611×671
LCM(4081,4087) = 16679047
Factors of 4081
List of positive integer factors of 4081 that divides 4081 without a remainder.
1, 7, 11, 53, 77, 371, 583, 4081
Factors of 4087
List of positive integer factors of 4087 that divides 4087 without a remainder.
1, 61, 67, 4087
Least Common Multiple of 4081 and 4087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4081 and 4087, than apply into the LCM equation.
GCF(4081,4087) = 1
LCM(4081,4087) = ( 4081 × 4087) / 1
LCM(4081,4087) = 16679047 / 1
LCM(4081,4087) = 16679047
Properties of LCM 4081 and 4087
(i) The LCM of 4087 and 4081 is associative
LCM of 4081 and 4087 = LCM of 4087 and 4081
Related Least Common Multiples of 4081
Related Least Common Multiples of 4087
Frequently Asked Questions on LCM of 4081 and 4087
1. What is the LCM of 4081 and 4087?
Answer: LCM of 4081 and 4087 is 16679047.
2. What are the Factors of 4081?
Answer: Factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081. There are 8 integers that are factors of 4081. The greatest factor of 4081 is 4081.
3. What are the Factors of 4087?
Answer: Factors of 4087 are 1, 61, 67, 4087. There are 4 integers that are factors of 4087. The greatest factor of 4087 is 4087.
4. How to Find the LCM of 4081 and 4087?
Answer:
Least Common Multiple of 4081 and 4087 = 16679047
Step 1: Find the prime factorization of 4081
4081 = 7 x 11 x 53
Step 2: Find the prime factorization of 4087
4087 = 61 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16679047 = 7 x 11 x 53 x 61 x 67
Step 4: Therefore, the least common multiple of 4081 and 4087 is 16679047.