Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7028 and 7033 the smallest integer that is 49427924 that is divisible by both numbers.
Least Common Multiple (LCM) of 7028 and 7033 is 49427924.
LCM(7028,7033) = 49427924
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 7028 and 7033. First we will calculate the prime factors of 7028 and 7033.
Prime Factorization of 7028
2 | 7028 |
2 | 3514 |
7 | 1757 |
251 | 251 |
1 |
Prime factors of 7028 are 2, 7,251. Prime factorization of 7028 in exponential form is:
7028 = 22×71×2511
Prime Factorization of 7033
13 | 7033 |
541 | 541 |
1 |
Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:
7033 = 131×5411
Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7033.
LCM(7028,7033) = 22×71×131×2511×5411
LCM(7028,7033) = 49427924
Factors of 7028
List of positive integer factors of 7028 that divides 7028 without a remainder.
1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028
Factors of 7033
List of positive integer factors of 7033 that divides 7033 without a remainder.
1, 13, 541, 7033
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7028 and 7033, than apply into the LCM equation.
GCF(7028,7033) = 1
LCM(7028,7033) = ( 7028 × 7033) / 1
LCM(7028,7033) = 49427924 / 1
LCM(7028,7033) = 49427924
(i) The LCM of 7033 and 7028 is associative
LCM of 7028 and 7033 = LCM of 7033 and 7028
1. What is the LCM of 7028 and 7033?
Answer: LCM of 7028 and 7033 is 49427924.
2. What are the Factors of 7028?
Answer: Factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028. There are 12 integers that are factors of 7028. The greatest factor of 7028 is 7028.
3. What are the Factors of 7033?
Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.
4. How to Find the LCM of 7028 and 7033?
Answer:
Least Common Multiple of 7028 and 7033 = 49427924
Step 1: Find the prime factorization of 7028
7028 = 2 x 2 x 7 x 251
Step 2: Find the prime factorization of 7033
7033 = 13 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49427924 = 2 x 2 x 7 x 13 x 251 x 541
Step 4: Therefore, the least common multiple of 7028 and 7033 is 49427924.