Least Common Multiple of 6023 and 6027
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6023 and 6027 the smallest integer that is 36300621 that is divisible by both numbers.
Least Common Multiple (LCM) of 6023 and 6027 is 36300621.
LCM(6023,6027) = 36300621
LCM of 6023 and 6027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6023 and 6027 by Prime method
- Least Common Multiple of 6023 and 6027 with GCF Formula
LCM of 6023 and 6027 is 36300621
Least common multiple can be found by multiplying the highest exponent prime factors of 6023 and 6027. First we will calculate the prime factors of 6023 and 6027.
Prime Factorization of 6023
| 19 | 6023 |
| 317 | 317 |
| 1 |
Prime factors of 6023 are 19,317. Prime factorization of 6023 in exponential form is:
6023 = 191×3171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6023 and 6027.
LCM(6023,6027) = 31×72×191×411×3171
LCM(6023,6027) = 36300621
Factors of 6023
List of positive integer factors of 6023 that divides 6023 without a remainder.
1, 19, 317, 6023
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
Least Common Multiple of 6023 and 6027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6023 and 6027, than apply into the LCM equation.
GCF(6023,6027) = 1
LCM(6023,6027) = ( 6023 × 6027) / 1
LCM(6023,6027) = 36300621 / 1
LCM(6023,6027) = 36300621
Properties of LCM 6023 and 6027
(i) The LCM of 6027 and 6023 is associative
LCM of 6023 and 6027 = LCM of 6027 and 6023
Related Least Common Multiples of 6023
Related Least Common Multiples of 6027
Frequently Asked Questions on LCM of 6023 and 6027
1. What is the LCM of 6023 and 6027?
Answer: LCM of 6023 and 6027 is 36300621.
2. What are the Factors of 6023?
Answer: Factors of 6023 are 1, 19, 317, 6023. There are 4 integers that are factors of 6023. The greatest factor of 6023 is 6023.
3. 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.
4. How to Find the LCM of 6023 and 6027?
Answer:
Least Common Multiple of 6023 and 6027 = 36300621
Step 1: Find the prime factorization of 6023
6023 = 19 x 317
Step 2: Find the prime factorization of 6027
6027 = 3 x 7 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36300621 = 3 x 7 x 7 x 19 x 41 x 317
Step 4: Therefore, the least common multiple of 6023 and 6027 is 36300621.