Least Common Multiple of 1036 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 1036 and 1041 the smallest integer that is 1078476 that is divisible by both numbers.
Least Common Multiple (LCM) of 1036 and 1041 is 1078476.
LCM(1036,1041) = 1078476
LCM of 1036 and 1041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1036 and 1041 by Prime method
- Least Common Multiple of 1036 and 1041 with GCF Formula
LCM of 1036 and 1041 is 1078476
Least common multiple can be found by multiplying the highest exponent prime factors of 1036 and 1041. First we will calculate the prime factors of 1036 and 1041.
Prime Factorization of 1036
| 2 | 1036 |
| 2 | 518 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 1036 are 2, 7,37. Prime factorization of 1036 in exponential form is:
1036 = 22×71×371
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 1036 and 1041.
LCM(1036,1041) = 22×31×71×371×3471
LCM(1036,1041) = 1078476
Factors of 1036
List of positive integer factors of 1036 that divides 1036 without a remainder.
1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
Factors of 1041
List of positive integer factors of 1041 that divides 1041 without a remainder.
1, 3, 347, 1041
Least Common Multiple of 1036 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 1036 and 1041, than apply into the LCM equation.
GCF(1036,1041) = 1
LCM(1036,1041) = ( 1036 × 1041) / 1
LCM(1036,1041) = 1078476 / 1
LCM(1036,1041) = 1078476
Properties of LCM 1036 and 1041
(i) The LCM of 1041 and 1036 is associative
LCM of 1036 and 1041 = LCM of 1041 and 1036
Related Least Common Multiples of 1036
Related Least Common Multiples of 1041
Frequently Asked Questions on LCM of 1036 and 1041
1. What is the LCM of 1036 and 1041?
Answer: LCM of 1036 and 1041 is 1078476.
2. What are the Factors of 1036?
Answer: Factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036. There are 12 integers that are factors of 1036. The greatest factor of 1036 is 1036.
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 1036 and 1041?
Answer:
Least Common Multiple of 1036 and 1041 = 1078476
Step 1: Find the prime factorization of 1036
1036 = 2 x 2 x 7 x 37
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 = 1078476 = 2 x 2 x 3 x 7 x 37 x 347
Step 4: Therefore, the least common multiple of 1036 and 1041 is 1078476.
