Least Common Multiple of 1015 and 1023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1015 and 1023 the smallest integer that is 1038345 that is divisible by both numbers.
Least Common Multiple (LCM) of 1015 and 1023 is 1038345.
LCM(1015,1023) = 1038345
LCM of 1015 and 1023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1015 and 1023 by Prime method
- Least Common Multiple of 1015 and 1023 with GCF Formula
LCM of 1015 and 1023 is 1038345
Least common multiple can be found by multiplying the highest exponent prime factors of 1015 and 1023. First we will calculate the prime factors of 1015 and 1023.
Prime Factorization of 1015
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 1015 are 5, 7,29. Prime factorization of 1015 in exponential form is:
1015 = 51×71×291
Prime Factorization of 1023
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 1023 are 3, 11,31. Prime factorization of 1023 in exponential form is:
1023 = 31×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 1015 and 1023.
LCM(1015,1023) = 31×51×71×111×291×311
LCM(1015,1023) = 1038345
Factors of 1015
List of positive integer factors of 1015 that divides 1015 without a remainder.
1, 5, 7, 29, 35, 145, 203, 1015
Factors of 1023
List of positive integer factors of 1023 that divides 1023 without a remainder.
1, 3, 11, 31, 33, 93, 341, 1023
Least Common Multiple of 1015 and 1023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1015 and 1023, than apply into the LCM equation.
GCF(1015,1023) = 1
LCM(1015,1023) = ( 1015 × 1023) / 1
LCM(1015,1023) = 1038345 / 1
LCM(1015,1023) = 1038345
Properties of LCM 1015 and 1023
(i) The LCM of 1023 and 1015 is associative
LCM of 1015 and 1023 = LCM of 1023 and 1015
Related Least Common Multiples of 1015
Related Least Common Multiples of 1023
Frequently Asked Questions on LCM of 1015 and 1023
1. What is the LCM of 1015 and 1023?
Answer: LCM of 1015 and 1023 is 1038345.
2. What are the Factors of 1015?
Answer: Factors of 1015 are 1, 5, 7, 29, 35, 145, 203, 1015. There are 8 integers that are factors of 1015. The greatest factor of 1015 is 1015.
3. What are the Factors of 1023?
Answer: Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. There are 8 integers that are factors of 1023. The greatest factor of 1023 is 1023.
4. How to Find the LCM of 1015 and 1023?
Answer:
Least Common Multiple of 1015 and 1023 = 1038345
Step 1: Find the prime factorization of 1015
1015 = 5 x 7 x 29
Step 2: Find the prime factorization of 1023
1023 = 3 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1038345 = 3 x 5 x 7 x 11 x 29 x 31
Step 4: Therefore, the least common multiple of 1015 and 1023 is 1038345.
