Least Common Multiple of 1029 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 1029 and 1037 the smallest integer that is 1067073 that is divisible by both numbers.
Least Common Multiple (LCM) of 1029 and 1037 is 1067073.
LCM(1029,1037) = 1067073
LCM of 1029 and 1037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1029 and 1037 by Prime method
- Least Common Multiple of 1029 and 1037 with GCF Formula
LCM of 1029 and 1037 is 1067073
Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1037. First we will calculate the prime factors of 1029 and 1037.
Prime Factorization of 1029
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:
1029 = 31×73
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 1029 and 1037.
LCM(1029,1037) = 31×73×171×611
LCM(1029,1037) = 1067073
Factors of 1029
List of positive integer factors of 1029 that divides 1029 without a remainder.
1, 3, 7, 21, 49, 147, 343, 1029
Factors of 1037
List of positive integer factors of 1037 that divides 1037 without a remainder.
1, 17, 61, 1037
Least Common Multiple of 1029 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 1029 and 1037, than apply into the LCM equation.
GCF(1029,1037) = 1
LCM(1029,1037) = ( 1029 × 1037) / 1
LCM(1029,1037) = 1067073 / 1
LCM(1029,1037) = 1067073
Properties of LCM 1029 and 1037
(i) The LCM of 1037 and 1029 is associative
LCM of 1029 and 1037 = LCM of 1037 and 1029
Related Least Common Multiples of 1029
Related Least Common Multiples of 1037
Frequently Asked Questions on LCM of 1029 and 1037
1. What is the LCM of 1029 and 1037?
Answer: LCM of 1029 and 1037 is 1067073.
2. What are the Factors of 1029?
Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.
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 1029 and 1037?
Answer:
Least Common Multiple of 1029 and 1037 = 1067073
Step 1: Find the prime factorization of 1029
1029 = 3 x 7 x 7 x 7
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 = 1067073 = 3 x 7 x 7 x 7 x 17 x 61
Step 4: Therefore, the least common multiple of 1029 and 1037 is 1067073.
