Least Common Multiple of 1011 and 1015
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1011 and 1015 the smallest integer that is 1026165 that is divisible by both numbers.
Least Common Multiple (LCM) of 1011 and 1015 is 1026165.
LCM(1011,1015) = 1026165
LCM of 1011 and 1015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1011 and 1015 by Prime method
- Least Common Multiple of 1011 and 1015 with GCF Formula
LCM of 1011 and 1015 is 1026165
Least common multiple can be found by multiplying the highest exponent prime factors of 1011 and 1015. First we will calculate the prime factors of 1011 and 1015.
Prime Factorization of 1011
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:
1011 = 31×3371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1011 and 1015.
LCM(1011,1015) = 31×51×71×291×3371
LCM(1011,1015) = 1026165
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1, 3, 337, 1011
Factors of 1015
List of positive integer factors of 1015 that divides 1015 without a remainder.
1, 5, 7, 29, 35, 145, 203, 1015
Least Common Multiple of 1011 and 1015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1011 and 1015, than apply into the LCM equation.
GCF(1011,1015) = 1
LCM(1011,1015) = ( 1011 × 1015) / 1
LCM(1011,1015) = 1026165 / 1
LCM(1011,1015) = 1026165
Properties of LCM 1011 and 1015
(i) The LCM of 1015 and 1011 is associative
LCM of 1011 and 1015 = LCM of 1015 and 1011
Related Least Common Multiples of 1011
Related Least Common Multiples of 1015
Frequently Asked Questions on LCM of 1011 and 1015
1. What is the LCM of 1011 and 1015?
Answer: LCM of 1011 and 1015 is 1026165.
2. What are the Factors of 1011?
Answer: Factors of 1011 are 1, 3, 337, 1011. There are 4 integers that are factors of 1011. The greatest factor of 1011 is 1011.
3. 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.
4. How to Find the LCM of 1011 and 1015?
Answer:
Least Common Multiple of 1011 and 1015 = 1026165
Step 1: Find the prime factorization of 1011
1011 = 3 x 337
Step 2: Find the prime factorization of 1015
1015 = 5 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1026165 = 3 x 5 x 7 x 29 x 337
Step 4: Therefore, the least common multiple of 1011 and 1015 is 1026165.
