Least Common Multiple of 6014 and 6015
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6014 and 6015 the smallest integer that is 36174210 that is divisible by both numbers.
Least Common Multiple (LCM) of 6014 and 6015 is 36174210.
LCM(6014,6015) = 36174210
LCM of 6014 and 6015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6014 and 6015 by Prime method
- Least Common Multiple of 6014 and 6015 with GCF Formula
LCM of 6014 and 6015 is 36174210
Least common multiple can be found by multiplying the highest exponent prime factors of 6014 and 6015. First we will calculate the prime factors of 6014 and 6015.
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
Prime Factorization of 6015
| 3 | 6015 |
| 5 | 2005 |
| 401 | 401 |
| 1 |
Prime factors of 6015 are 3, 5,401. Prime factorization of 6015 in exponential form is:
6015 = 31×51×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 6014 and 6015.
LCM(6014,6015) = 21×31×51×311×971×4011
LCM(6014,6015) = 36174210
Factors of 6014
List of positive integer factors of 6014 that divides 6014 without a remainder.
1, 2, 31, 62, 97, 194, 3007, 6014
Factors of 6015
List of positive integer factors of 6015 that divides 6015 without a remainder.
1, 3, 5, 15, 401, 1203, 2005, 6015
Least Common Multiple of 6014 and 6015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6014 and 6015, than apply into the LCM equation.
GCF(6014,6015) = 1
LCM(6014,6015) = ( 6014 × 6015) / 1
LCM(6014,6015) = 36174210 / 1
LCM(6014,6015) = 36174210
Properties of LCM 6014 and 6015
(i) The LCM of 6015 and 6014 is associative
LCM of 6014 and 6015 = LCM of 6015 and 6014
Related Least Common Multiples of 6014
Related Least Common Multiples of 6015
Frequently Asked Questions on LCM of 6014 and 6015
1. What is the LCM of 6014 and 6015?
Answer: LCM of 6014 and 6015 is 36174210.
2. 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.
3. What are the Factors of 6015?
Answer: Factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015. There are 8 integers that are factors of 6015. The greatest factor of 6015 is 6015.
4. How to Find the LCM of 6014 and 6015?
Answer:
Least Common Multiple of 6014 and 6015 = 36174210
Step 1: Find the prime factorization of 6014
6014 = 2 x 31 x 97
Step 2: Find the prime factorization of 6015
6015 = 3 x 5 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36174210 = 2 x 3 x 5 x 31 x 97 x 401
Step 4: Therefore, the least common multiple of 6014 and 6015 is 36174210.