Least Common Multiple of 6027 and 6035
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 6035 the smallest integer that is 36372945 that is divisible by both numbers.
Least Common Multiple (LCM) of 6027 and 6035 is 36372945.
LCM(6027,6035) = 36372945
LCM of 6027 and 6035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6027 and 6035 by Prime method
- Least Common Multiple of 6027 and 6035 with GCF Formula
LCM of 6027 and 6035 is 36372945
Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6035. First we will calculate the prime factors of 6027 and 6035.
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 6035
| 5 | 6035 |
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 6035 are 5, 17,71. Prime factorization of 6035 in exponential form is:
6035 = 51×171×711
Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6035.
LCM(6027,6035) = 31×51×72×171×411×711
LCM(6027,6035) = 36372945
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 6035
List of positive integer factors of 6035 that divides 6035 without a remainder.
1, 5, 17, 71, 85, 355, 1207, 6035
Least Common Multiple of 6027 and 6035 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 6035, than apply into the LCM equation.
GCF(6027,6035) = 1
LCM(6027,6035) = ( 6027 × 6035) / 1
LCM(6027,6035) = 36372945 / 1
LCM(6027,6035) = 36372945
Properties of LCM 6027 and 6035
(i) The LCM of 6035 and 6027 is associative
LCM of 6027 and 6035 = LCM of 6035 and 6027
Related Least Common Multiples of 6027
Related Least Common Multiples of 6035
Frequently Asked Questions on LCM of 6027 and 6035
1. What is the LCM of 6027 and 6035?
Answer: LCM of 6027 and 6035 is 36372945.
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 6035?
Answer: Factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035. There are 8 integers that are factors of 6035. The greatest factor of 6035 is 6035.
4. How to Find the LCM of 6027 and 6035?
Answer:
Least Common Multiple of 6027 and 6035 = 36372945
Step 1: Find the prime factorization of 6027
6027 = 3 x 7 x 7 x 41
Step 2: Find the prime factorization of 6035
6035 = 5 x 17 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36372945 = 3 x 5 x 7 x 7 x 17 x 41 x 71
Step 4: Therefore, the least common multiple of 6027 and 6035 is 36372945.