Least Common Multiple of 6015 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 6015 and 6023 the smallest integer that is 36228345 that is divisible by both numbers.
Least Common Multiple (LCM) of 6015 and 6023 is 36228345.
LCM(6015,6023) = 36228345
LCM of 6015 and 6023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6015 and 6023 by Prime method
- Least Common Multiple of 6015 and 6023 with GCF Formula
LCM of 6015 and 6023 is 36228345
Least common multiple can be found by multiplying the highest exponent prime factors of 6015 and 6023. First we will calculate the prime factors of 6015 and 6023.
Prime Factorization of 6015
| 3 | 6015 |
| 5 | 2005 |
| 401 | 401 |
| 1 |
Prime factors of 6015 are 3, 5,401. Prime factorization of 6015 in exponential form is:
6015 = 31×51×4011
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 6015 and 6023.
LCM(6015,6023) = 31×51×191×3171×4011
LCM(6015,6023) = 36228345
Factors of 6015
List of positive integer factors of 6015 that divides 6015 without a remainder.
1, 3, 5, 15, 401, 1203, 2005, 6015
Factors of 6023
List of positive integer factors of 6023 that divides 6023 without a remainder.
1, 19, 317, 6023
Least Common Multiple of 6015 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 6015 and 6023, than apply into the LCM equation.
GCF(6015,6023) = 1
LCM(6015,6023) = ( 6015 × 6023) / 1
LCM(6015,6023) = 36228345 / 1
LCM(6015,6023) = 36228345
Properties of LCM 6015 and 6023
(i) The LCM of 6023 and 6015 is associative
LCM of 6015 and 6023 = LCM of 6023 and 6015
Related Least Common Multiples of 6015
Related Least Common Multiples of 6023
Frequently Asked Questions on LCM of 6015 and 6023
1. What is the LCM of 6015 and 6023?
Answer: LCM of 6015 and 6023 is 36228345.
2. What are the Factors of 6015?
Answer: Factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015. There are 8 integers that are factors of 6015. The greatest factor of 6015 is 6015.
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 6015 and 6023?
Answer:
Least Common Multiple of 6015 and 6023 = 36228345
Step 1: Find the prime factorization of 6015
6015 = 3 x 5 x 401
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 = 36228345 = 3 x 5 x 19 x 317 x 401
Step 4: Therefore, the least common multiple of 6015 and 6023 is 36228345.