Least Common Multiple of 4082 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 4082 and 4087 the smallest integer that is 16683134 that is divisible by both numbers.
Least Common Multiple (LCM) of 4082 and 4087 is 16683134.
LCM(4082,4087) = 16683134
LCM of 4082 and 4087
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4082 and 4087 by Prime method
- Least Common Multiple of 4082 and 4087 with GCF Formula
LCM of 4082 and 4087 is 16683134
Least common multiple can be found by multiplying the highest exponent prime factors of 4082 and 4087. First we will calculate the prime factors of 4082 and 4087.
Prime Factorization of 4082
| 2 | 4082 |
| 13 | 2041 |
| 157 | 157 |
| 1 |
Prime factors of 4082 are 2, 13,157. Prime factorization of 4082 in exponential form is:
4082 = 21×131×1571
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 4082 and 4087.
LCM(4082,4087) = 21×131×611×671×1571
LCM(4082,4087) = 16683134
Factors of 4082
List of positive integer factors of 4082 that divides 4082 without a remainder.
1, 2, 13, 26, 157, 314, 2041, 4082
Factors of 4087
List of positive integer factors of 4087 that divides 4087 without a remainder.
1, 61, 67, 4087
Least Common Multiple of 4082 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 4082 and 4087, than apply into the LCM equation.
GCF(4082,4087) = 1
LCM(4082,4087) = ( 4082 × 4087) / 1
LCM(4082,4087) = 16683134 / 1
LCM(4082,4087) = 16683134
Properties of LCM 4082 and 4087
(i) The LCM of 4087 and 4082 is associative
LCM of 4082 and 4087 = LCM of 4087 and 4082
Related Least Common Multiples of 4082
Related Least Common Multiples of 4087
Frequently Asked Questions on LCM of 4082 and 4087
1. What is the LCM of 4082 and 4087?
Answer: LCM of 4082 and 4087 is 16683134.
2. What are the Factors of 4082?
Answer: Factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082. There are 8 integers that are factors of 4082. The greatest factor of 4082 is 4082.
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 4082 and 4087?
Answer:
Least Common Multiple of 4082 and 4087 = 16683134
Step 1: Find the prime factorization of 4082
4082 = 2 x 13 x 157
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 = 16683134 = 2 x 13 x 61 x 67 x 157
Step 4: Therefore, the least common multiple of 4082 and 4087 is 16683134.