Least Common Multiple of 1035 and 1043
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1035 and 1043 the smallest integer that is 1079505 that is divisible by both numbers.
Least Common Multiple (LCM) of 1035 and 1043 is 1079505.
LCM(1035,1043) = 1079505
LCM of 1035 and 1043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1035 and 1043 by Prime method
- Least Common Multiple of 1035 and 1043 with GCF Formula
LCM of 1035 and 1043 is 1079505
Least common multiple can be found by multiplying the highest exponent prime factors of 1035 and 1043. First we will calculate the prime factors of 1035 and 1043.
Prime Factorization of 1035
| 3 | 1035 |
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 1035 are 3, 5,23. Prime factorization of 1035 in exponential form is:
1035 = 32×51×231
Prime Factorization of 1043
| 7 | 1043 |
| 149 | 149 |
| 1 |
Prime factors of 1043 are 7,149. Prime factorization of 1043 in exponential form is:
1043 = 71×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 1035 and 1043.
LCM(1035,1043) = 32×51×71×231×1491
LCM(1035,1043) = 1079505
Factors of 1035
List of positive integer factors of 1035 that divides 1035 without a remainder.
1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
Factors of 1043
List of positive integer factors of 1043 that divides 1043 without a remainder.
1, 7, 149, 1043
Least Common Multiple of 1035 and 1043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1035 and 1043, than apply into the LCM equation.
GCF(1035,1043) = 1
LCM(1035,1043) = ( 1035 × 1043) / 1
LCM(1035,1043) = 1079505 / 1
LCM(1035,1043) = 1079505
Properties of LCM 1035 and 1043
(i) The LCM of 1043 and 1035 is associative
LCM of 1035 and 1043 = LCM of 1043 and 1035
Related Least Common Multiples of 1035
Related Least Common Multiples of 1043
Frequently Asked Questions on LCM of 1035 and 1043
1. What is the LCM of 1035 and 1043?
Answer: LCM of 1035 and 1043 is 1079505.
2. What are the Factors of 1035?
Answer: Factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. There are 12 integers that are factors of 1035. The greatest factor of 1035 is 1035.
3. What are the Factors of 1043?
Answer: Factors of 1043 are 1, 7, 149, 1043. There are 4 integers that are factors of 1043. The greatest factor of 1043 is 1043.
4. How to Find the LCM of 1035 and 1043?
Answer:
Least Common Multiple of 1035 and 1043 = 1079505
Step 1: Find the prime factorization of 1035
1035 = 3 x 3 x 5 x 23
Step 2: Find the prime factorization of 1043
1043 = 7 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1079505 = 3 x 3 x 5 x 7 x 23 x 149
Step 4: Therefore, the least common multiple of 1035 and 1043 is 1079505.
