Least Common Multiple of 4009 and 4015
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 4015 the smallest integer that is 16096135 that is divisible by both numbers.
Least Common Multiple (LCM) of 4009 and 4015 is 16096135.
LCM(4009,4015) = 16096135
LCM of 4009 and 4015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4009 and 4015 by Prime method
- Least Common Multiple of 4009 and 4015 with GCF Formula
LCM of 4009 and 4015 is 16096135
Least common multiple can be found by multiplying the highest exponent prime factors of 4009 and 4015. First we will calculate the prime factors of 4009 and 4015.
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 4015
| 5 | 4015 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 4015 are 5, 11,73. Prime factorization of 4015 in exponential form is:
4015 = 51×111×731
Now multiplying the highest exponent prime factors to calculate the LCM of 4009 and 4015.
LCM(4009,4015) = 51×111×191×731×2111
LCM(4009,4015) = 16096135
Factors of 4009
List of positive integer factors of 4009 that divides 4009 without a remainder.
1, 19, 211, 4009
Factors of 4015
List of positive integer factors of 4015 that divides 4015 without a remainder.
1, 5, 11, 55, 73, 365, 803, 4015
Least Common Multiple of 4009 and 4015 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 4015, than apply into the LCM equation.
GCF(4009,4015) = 1
LCM(4009,4015) = ( 4009 × 4015) / 1
LCM(4009,4015) = 16096135 / 1
LCM(4009,4015) = 16096135
Properties of LCM 4009 and 4015
(i) The LCM of 4015 and 4009 is associative
LCM of 4009 and 4015 = LCM of 4015 and 4009
Related Least Common Multiples of 4009
Related Least Common Multiples of 4015
Frequently Asked Questions on LCM of 4009 and 4015
1. What is the LCM of 4009 and 4015?
Answer: LCM of 4009 and 4015 is 16096135.
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 4015?
Answer: Factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015. There are 8 integers that are factors of 4015. The greatest factor of 4015 is 4015.
4. How to Find the LCM of 4009 and 4015?
Answer:
Least Common Multiple of 4009 and 4015 = 16096135
Step 1: Find the prime factorization of 4009
4009 = 19 x 211
Step 2: Find the prime factorization of 4015
4015 = 5 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16096135 = 5 x 11 x 19 x 73 x 211
Step 4: Therefore, the least common multiple of 4009 and 4015 is 16096135.