Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8028 and 8033 the smallest integer that is 64488924 that is divisible by both numbers.
Least Common Multiple (LCM) of 8028 and 8033 is 64488924.
LCM(8028,8033) = 64488924
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 8028 and 8033. First we will calculate the prime factors of 8028 and 8033.
Prime Factorization of 8028
2 | 8028 |
2 | 4014 |
3 | 2007 |
3 | 669 |
223 | 223 |
1 |
Prime factors of 8028 are 2, 3,223. Prime factorization of 8028 in exponential form is:
8028 = 22×32×2231
Prime Factorization of 8033
29 | 8033 |
277 | 277 |
1 |
Prime factors of 8033 are 29,277. Prime factorization of 8033 in exponential form is:
8033 = 291×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8028 and 8033.
LCM(8028,8033) = 22×32×291×2231×2771
LCM(8028,8033) = 64488924
Factors of 8028
List of positive integer factors of 8028 that divides 8028 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028
Factors of 8033
List of positive integer factors of 8033 that divides 8033 without a remainder.
1, 29, 277, 8033
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8028 and 8033, than apply into the LCM equation.
GCF(8028,8033) = 1
LCM(8028,8033) = ( 8028 × 8033) / 1
LCM(8028,8033) = 64488924 / 1
LCM(8028,8033) = 64488924
(i) The LCM of 8033 and 8028 is associative
LCM of 8028 and 8033 = LCM of 8033 and 8028
1. What is the LCM of 8028 and 8033?
Answer: LCM of 8028 and 8033 is 64488924.
2. What are the Factors of 8028?
Answer: Factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028. There are 18 integers that are factors of 8028. The greatest factor of 8028 is 8028.
3. What are the Factors of 8033?
Answer: Factors of 8033 are 1, 29, 277, 8033. There are 4 integers that are factors of 8033. The greatest factor of 8033 is 8033.
4. How to Find the LCM of 8028 and 8033?
Answer:
Least Common Multiple of 8028 and 8033 = 64488924
Step 1: Find the prime factorization of 8028
8028 = 2 x 2 x 3 x 3 x 223
Step 2: Find the prime factorization of 8033
8033 = 29 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64488924 = 2 x 2 x 3 x 3 x 29 x 223 x 277
Step 4: Therefore, the least common multiple of 8028 and 8033 is 64488924.