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 7036 the smallest integer that is 12362252 that is divisible by both numbers.
Least Common Multiple (LCM) of 7028 and 7036 is 12362252.
LCM(7028,7036) = 12362252
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 7036. First we will calculate the prime factors of 7028 and 7036.
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 7036
2 | 7036 |
2 | 3518 |
1759 | 1759 |
1 |
Prime factors of 7036 are 2,1759. Prime factorization of 7036 in exponential form is:
7036 = 22×17591
Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7036.
LCM(7028,7036) = 22×71×2511×17591
LCM(7028,7036) = 12362252
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 7036
List of positive integer factors of 7036 that divides 7036 without a remainder.
1, 2, 4, 1759, 3518, 7036
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7028 and 7036, than apply into the LCM equation.
GCF(7028,7036) = 4
LCM(7028,7036) = ( 7028 × 7036) / 4
LCM(7028,7036) = 49449008 / 4
LCM(7028,7036) = 12362252
(i) The LCM of 7036 and 7028 is associative
LCM of 7028 and 7036 = LCM of 7036 and 7028
1. What is the LCM of 7028 and 7036?
Answer: LCM of 7028 and 7036 is 12362252.
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 7036?
Answer: Factors of 7036 are 1, 2, 4, 1759, 3518, 7036. There are 6 integers that are factors of 7036. The greatest factor of 7036 is 7036.
4. How to Find the LCM of 7028 and 7036?
Answer:
Least Common Multiple of 7028 and 7036 = 12362252
Step 1: Find the prime factorization of 7028
7028 = 2 x 2 x 7 x 251
Step 2: Find the prime factorization of 7036
7036 = 2 x 2 x 1759
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12362252 = 2 x 2 x 7 x 251 x 1759
Step 4: Therefore, the least common multiple of 7028 and 7036 is 12362252.