Least Common Multiple of 4017 and 4022
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4017 and 4022 the smallest integer that is 16156374 that is divisible by both numbers.
Least Common Multiple (LCM) of 4017 and 4022 is 16156374.
LCM(4017,4022) = 16156374
LCM of 4017 and 4022
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4017 and 4022 by Prime method
- Least Common Multiple of 4017 and 4022 with GCF Formula
LCM of 4017 and 4022 is 16156374
Least common multiple can be found by multiplying the highest exponent prime factors of 4017 and 4022. First we will calculate the prime factors of 4017 and 4022.
Prime Factorization of 4017
| 3 | 4017 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 4017 are 3, 13,103. Prime factorization of 4017 in exponential form is:
4017 = 31×131×1031
Prime Factorization of 4022
| 2 | 4022 |
| 2011 | 2011 |
| 1 |
Prime factors of 4022 are 2,2011. Prime factorization of 4022 in exponential form is:
4022 = 21×20111
Now multiplying the highest exponent prime factors to calculate the LCM of 4017 and 4022.
LCM(4017,4022) = 21×31×131×1031×20111
LCM(4017,4022) = 16156374
Factors of 4017
List of positive integer factors of 4017 that divides 4017 without a remainder.
1, 3, 13, 39, 103, 309, 1339, 4017
Factors of 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1, 2, 2011, 4022
Least Common Multiple of 4017 and 4022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4017 and 4022, than apply into the LCM equation.
GCF(4017,4022) = 1
LCM(4017,4022) = ( 4017 × 4022) / 1
LCM(4017,4022) = 16156374 / 1
LCM(4017,4022) = 16156374
Properties of LCM 4017 and 4022
(i) The LCM of 4022 and 4017 is associative
LCM of 4017 and 4022 = LCM of 4022 and 4017
Related Least Common Multiples of 4017
Related Least Common Multiples of 4022
Frequently Asked Questions on LCM of 4017 and 4022
1. What is the LCM of 4017 and 4022?
Answer: LCM of 4017 and 4022 is 16156374.
2. What are the Factors of 4017?
Answer: Factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017. There are 8 integers that are factors of 4017. The greatest factor of 4017 is 4017.
3. What are the Factors of 4022?
Answer: Factors of 4022 are 1, 2, 2011, 4022. There are 4 integers that are factors of 4022. The greatest factor of 4022 is 4022.
4. How to Find the LCM of 4017 and 4022?
Answer:
Least Common Multiple of 4017 and 4022 = 16156374
Step 1: Find the prime factorization of 4017
4017 = 3 x 13 x 103
Step 2: Find the prime factorization of 4022
4022 = 2 x 2011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16156374 = 2 x 3 x 13 x 103 x 2011
Step 4: Therefore, the least common multiple of 4017 and 4022 is 16156374.