Least Common Multiple of 4009 and 4014
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 4014 the smallest integer that is 16092126 that is divisible by both numbers.
Least Common Multiple (LCM) of 4009 and 4014 is 16092126.
LCM(4009,4014) = 16092126
LCM of 4009 and 4014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4009 and 4014 by Prime method
- Least Common Multiple of 4009 and 4014 with GCF Formula
LCM of 4009 and 4014 is 16092126
Least common multiple can be found by multiplying the highest exponent prime factors of 4009 and 4014. First we will calculate the prime factors of 4009 and 4014.
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 4014
| 2 | 4014 |
| 3 | 2007 |
| 3 | 669 |
| 223 | 223 |
| 1 |
Prime factors of 4014 are 2, 3,223. Prime factorization of 4014 in exponential form is:
4014 = 21×32×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 4009 and 4014.
LCM(4009,4014) = 21×32×191×2111×2231
LCM(4009,4014) = 16092126
Factors of 4009
List of positive integer factors of 4009 that divides 4009 without a remainder.
1, 19, 211, 4009
Factors of 4014
List of positive integer factors of 4014 that divides 4014 without a remainder.
1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014
Least Common Multiple of 4009 and 4014 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 4014, than apply into the LCM equation.
GCF(4009,4014) = 1
LCM(4009,4014) = ( 4009 × 4014) / 1
LCM(4009,4014) = 16092126 / 1
LCM(4009,4014) = 16092126
Properties of LCM 4009 and 4014
(i) The LCM of 4014 and 4009 is associative
LCM of 4009 and 4014 = LCM of 4014 and 4009
Related Least Common Multiples of 4009
Related Least Common Multiples of 4014
Frequently Asked Questions on LCM of 4009 and 4014
1. What is the LCM of 4009 and 4014?
Answer: LCM of 4009 and 4014 is 16092126.
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 4014?
Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.
4. How to Find the LCM of 4009 and 4014?
Answer:
Least Common Multiple of 4009 and 4014 = 16092126
Step 1: Find the prime factorization of 4009
4009 = 19 x 211
Step 2: Find the prime factorization of 4014
4014 = 2 x 3 x 3 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16092126 = 2 x 3 x 3 x 19 x 211 x 223
Step 4: Therefore, the least common multiple of 4009 and 4014 is 16092126.