Least Common Multiple of 1027 and 1033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1027 and 1033 the smallest integer that is 1060891 that is divisible by both numbers.
Least Common Multiple (LCM) of 1027 and 1033 is 1060891.
LCM(1027,1033) = 1060891
LCM of 1027 and 1033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1027 and 1033 by Prime method
- Least Common Multiple of 1027 and 1033 with GCF Formula
LCM of 1027 and 1033 is 1060891
Least common multiple can be found by multiplying the highest exponent prime factors of 1027 and 1033. First we will calculate the prime factors of 1027 and 1033.
Prime Factorization of 1027
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:
1027 = 131×791
Prime Factorization of 1033
| 1033 | 1033 |
| 1 |
Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:
1033 = 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 1027 and 1033.
LCM(1027,1033) = 131×791×10331
LCM(1027,1033) = 1060891
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1, 13, 79, 1027
Factors of 1033
List of positive integer factors of 1033 that divides 1033 without a remainder.
1, 1033
Least Common Multiple of 1027 and 1033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1027 and 1033, than apply into the LCM equation.
GCF(1027,1033) = 1
LCM(1027,1033) = ( 1027 × 1033) / 1
LCM(1027,1033) = 1060891 / 1
LCM(1027,1033) = 1060891
Properties of LCM 1027 and 1033
(i) The LCM of 1033 and 1027 is associative
LCM of 1027 and 1033 = LCM of 1033 and 1027
Related Least Common Multiples of 1027
Related Least Common Multiples of 1033
Frequently Asked Questions on LCM of 1027 and 1033
1. What is the LCM of 1027 and 1033?
Answer: LCM of 1027 and 1033 is 1060891.
2. What are the Factors of 1027?
Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.
3. What are the Factors of 1033?
Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.
4. How to Find the LCM of 1027 and 1033?
Answer:
Least Common Multiple of 1027 and 1033 = 1060891
Step 1: Find the prime factorization of 1027
1027 = 13 x 79
Step 2: Find the prime factorization of 1033
1033 = 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1060891 = 13 x 79 x 1033
Step 4: Therefore, the least common multiple of 1027 and 1033 is 1060891.
