Least Common Multiple of 6017 and 6023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6017 and 6023 the smallest integer that is 36240391 that is divisible by both numbers.
Least Common Multiple (LCM) of 6017 and 6023 is 36240391.
LCM(6017,6023) = 36240391
LCM of 6017 and 6023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6017 and 6023 by Prime method
- Least Common Multiple of 6017 and 6023 with GCF Formula
LCM of 6017 and 6023 is 36240391
Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6023. First we will calculate the prime factors of 6017 and 6023.
Prime Factorization of 6017
| 11 | 6017 |
| 547 | 547 |
| 1 |
Prime factors of 6017 are 11,547. Prime factorization of 6017 in exponential form is:
6017 = 111×5471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6023.
LCM(6017,6023) = 111×191×3171×5471
LCM(6017,6023) = 36240391
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1, 11, 547, 6017
Factors of 6023
List of positive integer factors of 6023 that divides 6023 without a remainder.
1, 19, 317, 6023
Least Common Multiple of 6017 and 6023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6017 and 6023, than apply into the LCM equation.
GCF(6017,6023) = 1
LCM(6017,6023) = ( 6017 × 6023) / 1
LCM(6017,6023) = 36240391 / 1
LCM(6017,6023) = 36240391
Properties of LCM 6017 and 6023
(i) The LCM of 6023 and 6017 is associative
LCM of 6017 and 6023 = LCM of 6023 and 6017
Related Least Common Multiples of 6017
Related Least Common Multiples of 6023
Frequently Asked Questions on LCM of 6017 and 6023
1. What is the LCM of 6017 and 6023?
Answer: LCM of 6017 and 6023 is 36240391.
2. What are the Factors of 6017?
Answer: Factors of 6017 are 1, 11, 547, 6017. There are 4 integers that are factors of 6017. The greatest factor of 6017 is 6017.
3. 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.
4. How to Find the LCM of 6017 and 6023?
Answer:
Least Common Multiple of 6017 and 6023 = 36240391
Step 1: Find the prime factorization of 6017
6017 = 11 x 547
Step 2: Find the prime factorization of 6023
6023 = 19 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36240391 = 11 x 19 x 317 x 547
Step 4: Therefore, the least common multiple of 6017 and 6023 is 36240391.