Least Common Multiple of 1032 and 1037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1032 and 1037 the smallest integer that is 1070184 that is divisible by both numbers.
Least Common Multiple (LCM) of 1032 and 1037 is 1070184.
LCM(1032,1037) = 1070184
LCM of 1032 and 1037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1032 and 1037 by Prime method
- Least Common Multiple of 1032 and 1037 with GCF Formula
LCM of 1032 and 1037 is 1070184
Least common multiple can be found by multiplying the highest exponent prime factors of 1032 and 1037. First we will calculate the prime factors of 1032 and 1037.
Prime Factorization of 1032
| 2 | 1032 |
| 2 | 516 |
| 2 | 258 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 1032 are 2, 3,43. Prime factorization of 1032 in exponential form is:
1032 = 23×31×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1032 and 1037.
LCM(1032,1037) = 23×31×171×431×611
LCM(1032,1037) = 1070184
Factors of 1032
List of positive integer factors of 1032 that divides 1032 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032
Factors of 1037
List of positive integer factors of 1037 that divides 1037 without a remainder.
1, 17, 61, 1037
Least Common Multiple of 1032 and 1037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1032 and 1037, than apply into the LCM equation.
GCF(1032,1037) = 1
LCM(1032,1037) = ( 1032 × 1037) / 1
LCM(1032,1037) = 1070184 / 1
LCM(1032,1037) = 1070184
Properties of LCM 1032 and 1037
(i) The LCM of 1037 and 1032 is associative
LCM of 1032 and 1037 = LCM of 1037 and 1032
Related Least Common Multiples of 1032
Related Least Common Multiples of 1037
Frequently Asked Questions on LCM of 1032 and 1037
1. What is the LCM of 1032 and 1037?
Answer: LCM of 1032 and 1037 is 1070184.
2. What are the Factors of 1032?
Answer: Factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032. There are 16 integers that are factors of 1032. The greatest factor of 1032 is 1032.
3. 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.
4. How to Find the LCM of 1032 and 1037?
Answer:
Least Common Multiple of 1032 and 1037 = 1070184
Step 1: Find the prime factorization of 1032
1032 = 2 x 2 x 2 x 3 x 43
Step 2: Find the prime factorization of 1037
1037 = 17 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1070184 = 2 x 2 x 2 x 3 x 17 x 43 x 61
Step 4: Therefore, the least common multiple of 1032 and 1037 is 1070184.