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 7035 the smallest integer that is 7063140 that is divisible by both numbers.
Least Common Multiple (LCM) of 7028 and 7035 is 7063140.
LCM(7028,7035) = 7063140
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 7035. First we will calculate the prime factors of 7028 and 7035.
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 7035
3 | 7035 |
5 | 2345 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 7035 are 3, 5, 7,67. Prime factorization of 7035 in exponential form is:
7035 = 31×51×71×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7035.
LCM(7028,7035) = 22×31×51×71×671×2511
LCM(7028,7035) = 7063140
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 7035
List of positive integer factors of 7035 that divides 7035 without a remainder.
1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7028 and 7035, than apply into the LCM equation.
GCF(7028,7035) = 7
LCM(7028,7035) = ( 7028 × 7035) / 7
LCM(7028,7035) = 49441980 / 7
LCM(7028,7035) = 7063140
(i) The LCM of 7035 and 7028 is associative
LCM of 7028 and 7035 = LCM of 7035 and 7028
1. What is the LCM of 7028 and 7035?
Answer: LCM of 7028 and 7035 is 7063140.
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 7035?
Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.
4. How to Find the LCM of 7028 and 7035?
Answer:
Least Common Multiple of 7028 and 7035 = 7063140
Step 1: Find the prime factorization of 7028
7028 = 2 x 2 x 7 x 251
Step 2: Find the prime factorization of 7035
7035 = 3 x 5 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7063140 = 2 x 2 x 3 x 5 x 7 x 67 x 251
Step 4: Therefore, the least common multiple of 7028 and 7035 is 7063140.