Least Common Multiple of 1037 and 1042
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 1042 the smallest integer that is 1080554 that is divisible by both numbers.
Least Common Multiple (LCM) of 1037 and 1042 is 1080554.
LCM(1037,1042) = 1080554
LCM of 1037 and 1042
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1037 and 1042 by Prime method
- Least Common Multiple of 1037 and 1042 with GCF Formula
LCM of 1037 and 1042 is 1080554
Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1042. First we will calculate the prime factors of 1037 and 1042.
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 1042
| 2 | 1042 |
| 521 | 521 |
| 1 |
Prime factors of 1042 are 2,521. Prime factorization of 1042 in exponential form is:
1042 = 21×5211
Now multiplying the highest exponent prime factors to calculate the LCM of 1037 and 1042.
LCM(1037,1042) = 21×171×611×5211
LCM(1037,1042) = 1080554
Factors of 1037
List of positive integer factors of 1037 that divides 1037 without a remainder.
1, 17, 61, 1037
Factors of 1042
List of positive integer factors of 1042 that divides 1042 without a remainder.
1, 2, 521, 1042
Least Common Multiple of 1037 and 1042 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 1042, than apply into the LCM equation.
GCF(1037,1042) = 1
LCM(1037,1042) = ( 1037 × 1042) / 1
LCM(1037,1042) = 1080554 / 1
LCM(1037,1042) = 1080554
Properties of LCM 1037 and 1042
(i) The LCM of 1042 and 1037 is associative
LCM of 1037 and 1042 = LCM of 1042 and 1037
Related Least Common Multiples of 1037
Related Least Common Multiples of 1042
Frequently Asked Questions on LCM of 1037 and 1042
1. What is the LCM of 1037 and 1042?
Answer: LCM of 1037 and 1042 is 1080554.
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 1042?
Answer: Factors of 1042 are 1, 2, 521, 1042. There are 4 integers that are factors of 1042. The greatest factor of 1042 is 1042.
4. How to Find the LCM of 1037 and 1042?
Answer:
Least Common Multiple of 1037 and 1042 = 1080554
Step 1: Find the prime factorization of 1037
1037 = 17 x 61
Step 2: Find the prime factorization of 1042
1042 = 2 x 521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1080554 = 2 x 17 x 61 x 521
Step 4: Therefore, the least common multiple of 1037 and 1042 is 1080554.
