Least Common Multiple of 6027 and 6034
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6027 and 6034 the smallest integer that is 5195274 that is divisible by both numbers.
Least Common Multiple (LCM) of 6027 and 6034 is 5195274.
LCM(6027,6034) = 5195274
LCM of 6027 and 6034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6027 and 6034 by Prime method
- Least Common Multiple of 6027 and 6034 with GCF Formula
LCM of 6027 and 6034 is 5195274
Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6034. First we will calculate the prime factors of 6027 and 6034.
Prime Factorization of 6027
| 3 | 6027 |
| 7 | 2009 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 6027 are 3, 7,41. Prime factorization of 6027 in exponential form is:
6027 = 31×72×411
Prime Factorization of 6034
| 2 | 6034 |
| 7 | 3017 |
| 431 | 431 |
| 1 |
Prime factors of 6034 are 2, 7,431. Prime factorization of 6034 in exponential form is:
6034 = 21×71×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6034.
LCM(6027,6034) = 21×31×72×411×4311
LCM(6027,6034) = 5195274
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
Factors of 6034
List of positive integer factors of 6034 that divides 6034 without a remainder.
1, 2, 7, 14, 431, 862, 3017, 6034
Least Common Multiple of 6027 and 6034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6027 and 6034, than apply into the LCM equation.
GCF(6027,6034) = 7
LCM(6027,6034) = ( 6027 × 6034) / 7
LCM(6027,6034) = 36366918 / 7
LCM(6027,6034) = 5195274
Properties of LCM 6027 and 6034
(i) The LCM of 6034 and 6027 is associative
LCM of 6027 and 6034 = LCM of 6034 and 6027
Related Least Common Multiples of 6027
Related Least Common Multiples of 6034
Frequently Asked Questions on LCM of 6027 and 6034
1. What is the LCM of 6027 and 6034?
Answer: LCM of 6027 and 6034 is 5195274.
2. What are the Factors of 6027?
Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.
3. What are the Factors of 6034?
Answer: Factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034. There are 8 integers that are factors of 6034. The greatest factor of 6034 is 6034.
4. How to Find the LCM of 6027 and 6034?
Answer:
Least Common Multiple of 6027 and 6034 = 5195274
Step 1: Find the prime factorization of 6027
6027 = 3 x 7 x 7 x 41
Step 2: Find the prime factorization of 6034
6034 = 2 x 7 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5195274 = 2 x 3 x 7 x 7 x 41 x 431
Step 4: Therefore, the least common multiple of 6027 and 6034 is 5195274.