Least Common Multiple of 6007 and 6014
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6007 and 6014 the smallest integer that is 36126098 that is divisible by both numbers.
Least Common Multiple (LCM) of 6007 and 6014 is 36126098.
LCM(6007,6014) = 36126098
LCM of 6007 and 6014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6007 and 6014 by Prime method
- Least Common Multiple of 6007 and 6014 with GCF Formula
LCM of 6007 and 6014 is 36126098
Least common multiple can be found by multiplying the highest exponent prime factors of 6007 and 6014. First we will calculate the prime factors of 6007 and 6014.
Prime Factorization of 6007
| 6007 | 6007 |
| 1 |
Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:
6007 = 60071
Prime Factorization of 6014
| 2 | 6014 |
| 31 | 3007 |
| 97 | 97 |
| 1 |
Prime factors of 6014 are 2, 31,97. Prime factorization of 6014 in exponential form is:
6014 = 21×311×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6007 and 6014.
LCM(6007,6014) = 21×311×971×60071
LCM(6007,6014) = 36126098
Factors of 6007
List of positive integer factors of 6007 that divides 6007 without a remainder.
1, 6007
Factors of 6014
List of positive integer factors of 6014 that divides 6014 without a remainder.
1, 2, 31, 62, 97, 194, 3007, 6014
Least Common Multiple of 6007 and 6014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6007 and 6014, than apply into the LCM equation.
GCF(6007,6014) = 1
LCM(6007,6014) = ( 6007 × 6014) / 1
LCM(6007,6014) = 36126098 / 1
LCM(6007,6014) = 36126098
Properties of LCM 6007 and 6014
(i) The LCM of 6014 and 6007 is associative
LCM of 6007 and 6014 = LCM of 6014 and 6007
Related Least Common Multiples of 6007
Related Least Common Multiples of 6014
Frequently Asked Questions on LCM of 6007 and 6014
1. What is the LCM of 6007 and 6014?
Answer: LCM of 6007 and 6014 is 36126098.
2. What are the Factors of 6007?
Answer: Factors of 6007 are 1, 6007. There are 2 integers that are factors of 6007. The greatest factor of 6007 is 6007.
3. What are the Factors of 6014?
Answer: Factors of 6014 are 1, 2, 31, 62, 97, 194, 3007, 6014. There are 8 integers that are factors of 6014. The greatest factor of 6014 is 6014.
4. How to Find the LCM of 6007 and 6014?
Answer:
Least Common Multiple of 6007 and 6014 = 36126098
Step 1: Find the prime factorization of 6007
6007 = 6007
Step 2: Find the prime factorization of 6014
6014 = 2 x 31 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36126098 = 2 x 31 x 97 x 6007
Step 4: Therefore, the least common multiple of 6007 and 6014 is 36126098.