Least Common Multiple of 1007 and 1012
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1007 and 1012 the smallest integer that is 1019084 that is divisible by both numbers.
Least Common Multiple (LCM) of 1007 and 1012 is 1019084.
LCM(1007,1012) = 1019084
LCM of 1007 and 1012
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1007 and 1012 by Prime method
- Least Common Multiple of 1007 and 1012 with GCF Formula
LCM of 1007 and 1012 is 1019084
Least common multiple can be found by multiplying the highest exponent prime factors of 1007 and 1012. First we will calculate the prime factors of 1007 and 1012.
Prime Factorization of 1007
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 1007 are 19,53. Prime factorization of 1007 in exponential form is:
1007 = 191×531
Prime Factorization of 1012
| 2 | 1012 |
| 2 | 506 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 1012 are 2, 11,23. Prime factorization of 1012 in exponential form is:
1012 = 22×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 1007 and 1012.
LCM(1007,1012) = 22×111×191×231×531
LCM(1007,1012) = 1019084
Factors of 1007
List of positive integer factors of 1007 that divides 1007 without a remainder.
1, 19, 53, 1007
Factors of 1012
List of positive integer factors of 1012 that divides 1012 without a remainder.
1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012
Least Common Multiple of 1007 and 1012 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1007 and 1012, than apply into the LCM equation.
GCF(1007,1012) = 1
LCM(1007,1012) = ( 1007 × 1012) / 1
LCM(1007,1012) = 1019084 / 1
LCM(1007,1012) = 1019084
Properties of LCM 1007 and 1012
(i) The LCM of 1012 and 1007 is associative
LCM of 1007 and 1012 = LCM of 1012 and 1007
Related Least Common Multiples of 1007
Related Least Common Multiples of 1012
Frequently Asked Questions on LCM of 1007 and 1012
1. What is the LCM of 1007 and 1012?
Answer: LCM of 1007 and 1012 is 1019084.
2. What are the Factors of 1007?
Answer: Factors of 1007 are 1, 19, 53, 1007. There are 4 integers that are factors of 1007. The greatest factor of 1007 is 1007.
3. What are the Factors of 1012?
Answer: Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. There are 12 integers that are factors of 1012. The greatest factor of 1012 is 1012.
4. How to Find the LCM of 1007 and 1012?
Answer:
Least Common Multiple of 1007 and 1012 = 1019084
Step 1: Find the prime factorization of 1007
1007 = 19 x 53
Step 2: Find the prime factorization of 1012
1012 = 2 x 2 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1019084 = 2 x 2 x 11 x 19 x 23 x 53
Step 4: Therefore, the least common multiple of 1007 and 1012 is 1019084.
