Least Common Multiple of 1034 and 1041
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1034 and 1041 the smallest integer that is 1076394 that is divisible by both numbers.
Least Common Multiple (LCM) of 1034 and 1041 is 1076394.
LCM(1034,1041) = 1076394
LCM of 1034 and 1041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1034 and 1041 by Prime method
- Least Common Multiple of 1034 and 1041 with GCF Formula
LCM of 1034 and 1041 is 1076394
Least common multiple can be found by multiplying the highest exponent prime factors of 1034 and 1041. First we will calculate the prime factors of 1034 and 1041.
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
Prime Factorization of 1041
| 3 | 1041 |
| 347 | 347 |
| 1 |
Prime factors of 1041 are 3,347. Prime factorization of 1041 in exponential form is:
1041 = 31×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 1034 and 1041.
LCM(1034,1041) = 21×31×111×471×3471
LCM(1034,1041) = 1076394
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1, 2, 11, 22, 47, 94, 517, 1034
Factors of 1041
List of positive integer factors of 1041 that divides 1041 without a remainder.
1, 3, 347, 1041
Least Common Multiple of 1034 and 1041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1034 and 1041, than apply into the LCM equation.
GCF(1034,1041) = 1
LCM(1034,1041) = ( 1034 × 1041) / 1
LCM(1034,1041) = 1076394 / 1
LCM(1034,1041) = 1076394
Properties of LCM 1034 and 1041
(i) The LCM of 1041 and 1034 is associative
LCM of 1034 and 1041 = LCM of 1041 and 1034
Related Least Common Multiples of 1034
Related Least Common Multiples of 1041
Frequently Asked Questions on LCM of 1034 and 1041
1. What is the LCM of 1034 and 1041?
Answer: LCM of 1034 and 1041 is 1076394.
2. 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.
3. What are the Factors of 1041?
Answer: Factors of 1041 are 1, 3, 347, 1041. There are 4 integers that are factors of 1041. The greatest factor of 1041 is 1041.
4. How to Find the LCM of 1034 and 1041?
Answer:
Least Common Multiple of 1034 and 1041 = 1076394
Step 1: Find the prime factorization of 1034
1034 = 2 x 11 x 47
Step 2: Find the prime factorization of 1041
1041 = 3 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1076394 = 2 x 3 x 11 x 47 x 347
Step 4: Therefore, the least common multiple of 1034 and 1041 is 1076394.