Least Common Multiple of 4009 and 4017
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4009 and 4017 the smallest integer that is 16104153 that is divisible by both numbers.
Least Common Multiple (LCM) of 4009 and 4017 is 16104153.
LCM(4009,4017) = 16104153
LCM of 4009 and 4017
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4009 and 4017 by Prime method
- Least Common Multiple of 4009 and 4017 with GCF Formula
LCM of 4009 and 4017 is 16104153
Least common multiple can be found by multiplying the highest exponent prime factors of 4009 and 4017. First we will calculate the prime factors of 4009 and 4017.
Prime Factorization of 4009
| 19 | 4009 |
| 211 | 211 |
| 1 |
Prime factors of 4009 are 19,211. Prime factorization of 4009 in exponential form is:
4009 = 191×2111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4009 and 4017.
LCM(4009,4017) = 31×131×191×1031×2111
LCM(4009,4017) = 16104153
Factors of 4009
List of positive integer factors of 4009 that divides 4009 without a remainder.
1, 19, 211, 4009
Factors of 4017
List of positive integer factors of 4017 that divides 4017 without a remainder.
1, 3, 13, 39, 103, 309, 1339, 4017
Least Common Multiple of 4009 and 4017 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4009 and 4017, than apply into the LCM equation.
GCF(4009,4017) = 1
LCM(4009,4017) = ( 4009 × 4017) / 1
LCM(4009,4017) = 16104153 / 1
LCM(4009,4017) = 16104153
Properties of LCM 4009 and 4017
(i) The LCM of 4017 and 4009 is associative
LCM of 4009 and 4017 = LCM of 4017 and 4009
Related Least Common Multiples of 4009
Related Least Common Multiples of 4017
Frequently Asked Questions on LCM of 4009 and 4017
1. What is the LCM of 4009 and 4017?
Answer: LCM of 4009 and 4017 is 16104153.
2. What are the Factors of 4009?
Answer: Factors of 4009 are 1, 19, 211, 4009. There are 4 integers that are factors of 4009. The greatest factor of 4009 is 4009.
3. 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.
4. How to Find the LCM of 4009 and 4017?
Answer:
Least Common Multiple of 4009 and 4017 = 16104153
Step 1: Find the prime factorization of 4009
4009 = 19 x 211
Step 2: Find the prime factorization of 4017
4017 = 3 x 13 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16104153 = 3 x 13 x 19 x 103 x 211
Step 4: Therefore, the least common multiple of 4009 and 4017 is 16104153.