Least Common Multiple of 6014 and 6021
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 6021 the smallest integer that is 36210294 that is divisible by both numbers.
Least Common Multiple (LCM) of 6014 and 6021 is 36210294.
LCM(6014,6021) = 36210294
LCM of 6014 and 6021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6014 and 6021 by Prime method
- Least Common Multiple of 6014 and 6021 with GCF Formula
LCM of 6014 and 6021 is 36210294
Least common multiple can be found by multiplying the highest exponent prime factors of 6014 and 6021. First we will calculate the prime factors of 6014 and 6021.
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 6021
| 3 | 6021 |
| 3 | 2007 |
| 3 | 669 |
| 223 | 223 |
| 1 |
Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:
6021 = 33×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 6014 and 6021.
LCM(6014,6021) = 21×33×311×971×2231
LCM(6014,6021) = 36210294
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 6021
List of positive integer factors of 6021 that divides 6021 without a remainder.
1, 3, 9, 27, 223, 669, 2007, 6021
Least Common Multiple of 6014 and 6021 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 6021, than apply into the LCM equation.
GCF(6014,6021) = 1
LCM(6014,6021) = ( 6014 × 6021) / 1
LCM(6014,6021) = 36210294 / 1
LCM(6014,6021) = 36210294
Properties of LCM 6014 and 6021
(i) The LCM of 6021 and 6014 is associative
LCM of 6014 and 6021 = LCM of 6021 and 6014
Related Least Common Multiples of 6014
Related Least Common Multiples of 6021
Frequently Asked Questions on LCM of 6014 and 6021
1. What is the LCM of 6014 and 6021?
Answer: LCM of 6014 and 6021 is 36210294.
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 6021?
Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.
4. How to Find the LCM of 6014 and 6021?
Answer:
Least Common Multiple of 6014 and 6021 = 36210294
Step 1: Find the prime factorization of 6014
6014 = 2 x 31 x 97
Step 2: Find the prime factorization of 6021
6021 = 3 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 = 36210294 = 2 x 3 x 3 x 3 x 31 x 97 x 223
Step 4: Therefore, the least common multiple of 6014 and 6021 is 36210294.