Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1028 and 1033 the smallest integer that is 1061924 that is divisible by both numbers.
Least Common Multiple (LCM) of 1028 and 1033 is 1061924.
LCM(1028,1033) = 1061924
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1028 and 1033. First we will calculate the prime factors of 1028 and 1033.
Prime Factorization of 1028
2 | 1028 |
2 | 514 |
257 | 257 |
1 |
Prime factors of 1028 are 2,257. Prime factorization of 1028 in exponential form is:
1028 = 22×2571
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 1028 and 1033.
LCM(1028,1033) = 22×2571×10331
LCM(1028,1033) = 1061924
Factors of 1028
List of positive integer factors of 1028 that divides 1028 without a remainder.
1, 2, 4, 257, 514, 1028
Factors of 1033
List of positive integer factors of 1033 that divides 1033 without a remainder.
1, 1033
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1028 and 1033, than apply into the LCM equation.
GCF(1028,1033) = 1
LCM(1028,1033) = ( 1028 × 1033) / 1
LCM(1028,1033) = 1061924 / 1
LCM(1028,1033) = 1061924
(i) The LCM of 1033 and 1028 is associative
LCM of 1028 and 1033 = LCM of 1033 and 1028
1. What is the LCM of 1028 and 1033?
Answer: LCM of 1028 and 1033 is 1061924.
2. What are the Factors of 1028?
Answer: Factors of 1028 are 1, 2, 4, 257, 514, 1028. There are 6 integers that are factors of 1028. The greatest factor of 1028 is 1028.
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 1028 and 1033?
Answer:
Least Common Multiple of 1028 and 1033 = 1061924
Step 1: Find the prime factorization of 1028
1028 = 2 x 2 x 257
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 = 1061924 = 2 x 2 x 257 x 1033
Step 4: Therefore, the least common multiple of 1028 and 1033 is 1061924.