Least Common Multiple of 1007 and 1011
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 1011 the smallest integer that is 1018077 that is divisible by both numbers.
Least Common Multiple (LCM) of 1007 and 1011 is 1018077.
LCM(1007,1011) = 1018077
LCM of 1007 and 1011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1007 and 1011 by Prime method
- Least Common Multiple of 1007 and 1011 with GCF Formula
LCM of 1007 and 1011 is 1018077
Least common multiple can be found by multiplying the highest exponent prime factors of 1007 and 1011. First we will calculate the prime factors of 1007 and 1011.
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 1011
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:
1011 = 31×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 1007 and 1011.
LCM(1007,1011) = 31×191×531×3371
LCM(1007,1011) = 1018077
Factors of 1007
List of positive integer factors of 1007 that divides 1007 without a remainder.
1, 19, 53, 1007
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1, 3, 337, 1011
Least Common Multiple of 1007 and 1011 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 1011, than apply into the LCM equation.
GCF(1007,1011) = 1
LCM(1007,1011) = ( 1007 × 1011) / 1
LCM(1007,1011) = 1018077 / 1
LCM(1007,1011) = 1018077
Properties of LCM 1007 and 1011
(i) The LCM of 1011 and 1007 is associative
LCM of 1007 and 1011 = LCM of 1011 and 1007
Related Least Common Multiples of 1007
Related Least Common Multiples of 1011
Frequently Asked Questions on LCM of 1007 and 1011
1. What is the LCM of 1007 and 1011?
Answer: LCM of 1007 and 1011 is 1018077.
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 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.
4. How to Find the LCM of 1007 and 1011?
Answer:
Least Common Multiple of 1007 and 1011 = 1018077
Step 1: Find the prime factorization of 1007
1007 = 19 x 53
Step 2: Find the prime factorization of 1011
1011 = 3 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1018077 = 3 x 19 x 53 x 337
Step 4: Therefore, the least common multiple of 1007 and 1011 is 1018077.
