Least Common Multiple of 39014 and 39018
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39014 and 39018 the smallest integer that is 761124126 that is divisible by both numbers.
Least Common Multiple (LCM) of 39014 and 39018 is 761124126.
LCM(39014,39018) = 761124126
LCM of 39014 and 39018
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39014 and 39018 by Prime method
- Least Common Multiple of 39014 and 39018 with GCF Formula
LCM of 39014 and 39018 is 761124126
Least common multiple can be found by multiplying the highest exponent prime factors of 39014 and 39018. First we will calculate the prime factors of 39014 and 39018.
Prime Factorization of 39014
| 2 | 39014 |
| 19507 | 19507 |
| 1 |
Prime factors of 39014 are 2,19507. Prime factorization of 39014 in exponential form is:
39014 = 21×195071
Prime Factorization of 39018
| 2 | 39018 |
| 3 | 19509 |
| 7 | 6503 |
| 929 | 929 |
| 1 |
Prime factors of 39018 are 2, 3, 7,929. Prime factorization of 39018 in exponential form is:
39018 = 21×31×71×9291
Now multiplying the highest exponent prime factors to calculate the LCM of 39014 and 39018.
LCM(39014,39018) = 21×31×71×9291×195071
LCM(39014,39018) = 761124126
Factors of 39014
List of positive integer factors of 39014 that divides 39014 without a remainder.
1, 2, 19507, 39014
Factors of 39018
List of positive integer factors of 39018 that divides 39018 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509, 39018
Least Common Multiple of 39014 and 39018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39014 and 39018, than apply into the LCM equation.
GCF(39014,39018) = 2
LCM(39014,39018) = ( 39014 × 39018) / 2
LCM(39014,39018) = 1522248252 / 2
LCM(39014,39018) = 761124126
Properties of LCM 39014 and 39018
(i) The LCM of 39018 and 39014 is associative
LCM of 39014 and 39018 = LCM of 39018 and 39014
Related Least Common Multiples of 39014
Related Least Common Multiples of 39018
Frequently Asked Questions on LCM of 39014 and 39018
1. What is the LCM of 39014 and 39018?
Answer: LCM of 39014 and 39018 is 761124126.
2. What are the Factors of 39014?
Answer: Factors of 39014 are 1, 2, 19507, 39014. There are 4 integers that are factors of 39014. The greatest factor of 39014 is 39014.
3. What are the Factors of 39018?
Answer: Factors of 39018 are 1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509, 39018. There are 16 integers that are factors of 39018. The greatest factor of 39018 is 39018.
4. How to Find the LCM of 39014 and 39018?
Answer:
Least Common Multiple of 39014 and 39018 = 761124126
Step 1: Find the prime factorization of 39014
39014 = 2 x 19507
Step 2: Find the prime factorization of 39018
39018 = 2 x 3 x 7 x 929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 761124126 = 2 x 3 x 7 x 929 x 19507
Step 4: Therefore, the least common multiple of 39014 and 39018 is 761124126.