Least Common Multiple of 1037 and 1045
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1037 and 1045 the smallest integer that is 1083665 that is divisible by both numbers.
Least Common Multiple (LCM) of 1037 and 1045 is 1083665.
LCM(1037,1045) = 1083665
LCM of 1037 and 1045
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1037 and 1045 by Prime method
- Least Common Multiple of 1037 and 1045 with GCF Formula
LCM of 1037 and 1045 is 1083665
Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1045. First we will calculate the prime factors of 1037 and 1045.
Prime Factorization of 1037
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 1037 are 17,61. Prime factorization of 1037 in exponential form is:
1037 = 171×611
Prime Factorization of 1045
| 5 | 1045 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 1045 are 5, 11,19. Prime factorization of 1045 in exponential form is:
1045 = 51×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 1037 and 1045.
LCM(1037,1045) = 51×111×171×191×611
LCM(1037,1045) = 1083665
Factors of 1037
List of positive integer factors of 1037 that divides 1037 without a remainder.
1, 17, 61, 1037
Factors of 1045
List of positive integer factors of 1045 that divides 1045 without a remainder.
1, 5, 11, 19, 55, 95, 209, 1045
Least Common Multiple of 1037 and 1045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1037 and 1045, than apply into the LCM equation.
GCF(1037,1045) = 1
LCM(1037,1045) = ( 1037 × 1045) / 1
LCM(1037,1045) = 1083665 / 1
LCM(1037,1045) = 1083665
Properties of LCM 1037 and 1045
(i) The LCM of 1045 and 1037 is associative
LCM of 1037 and 1045 = LCM of 1045 and 1037
Related Least Common Multiples of 1037
Related Least Common Multiples of 1045
Frequently Asked Questions on LCM of 1037 and 1045
1. What is the LCM of 1037 and 1045?
Answer: LCM of 1037 and 1045 is 1083665.
2. What are the Factors of 1037?
Answer: Factors of 1037 are 1, 17, 61, 1037. There are 4 integers that are factors of 1037. The greatest factor of 1037 is 1037.
3. What are the Factors of 1045?
Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.
4. How to Find the LCM of 1037 and 1045?
Answer:
Least Common Multiple of 1037 and 1045 = 1083665
Step 1: Find the prime factorization of 1037
1037 = 17 x 61
Step 2: Find the prime factorization of 1045
1045 = 5 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1083665 = 5 x 11 x 17 x 19 x 61
Step 4: Therefore, the least common multiple of 1037 and 1045 is 1083665.