Least Common Multiple of 1031 and 1034
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1031 and 1034 the smallest integer that is 1066054 that is divisible by both numbers.
Least Common Multiple (LCM) of 1031 and 1034 is 1066054.
LCM(1031,1034) = 1066054
LCM of 1031 and 1034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1031 and 1034 by Prime method
- Least Common Multiple of 1031 and 1034 with GCF Formula
LCM of 1031 and 1034 is 1066054
Least common multiple can be found by multiplying the highest exponent prime factors of 1031 and 1034. First we will calculate the prime factors of 1031 and 1034.
Prime Factorization of 1031
| 1031 | 1031 |
| 1 |
Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:
1031 = 10311
Prime Factorization of 1034
| 2 | 1034 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 1034 are 2, 11,47. Prime factorization of 1034 in exponential form is:
1034 = 21×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1031 and 1034.
LCM(1031,1034) = 21×111×471×10311
LCM(1031,1034) = 1066054
Factors of 1031
List of positive integer factors of 1031 that divides 1031 without a remainder.
1, 1031
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1, 2, 11, 22, 47, 94, 517, 1034
Least Common Multiple of 1031 and 1034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1031 and 1034, than apply into the LCM equation.
GCF(1031,1034) = 1
LCM(1031,1034) = ( 1031 × 1034) / 1
LCM(1031,1034) = 1066054 / 1
LCM(1031,1034) = 1066054
Properties of LCM 1031 and 1034
(i) The LCM of 1034 and 1031 is associative
LCM of 1031 and 1034 = LCM of 1034 and 1031
Related Least Common Multiples of 1031
Related Least Common Multiples of 1034
Frequently Asked Questions on LCM of 1031 and 1034
1. What is the LCM of 1031 and 1034?
Answer: LCM of 1031 and 1034 is 1066054.
2. What are the Factors of 1031?
Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.
3. What are the Factors of 1034?
Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.
4. How to Find the LCM of 1031 and 1034?
Answer:
Least Common Multiple of 1031 and 1034 = 1066054
Step 1: Find the prime factorization of 1031
1031 = 1031
Step 2: Find the prime factorization of 1034
1034 = 2 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1066054 = 2 x 11 x 47 x 1031
Step 4: Therefore, the least common multiple of 1031 and 1034 is 1066054.
