Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4028 and 4036 the smallest integer that is 4064252 that is divisible by both numbers.
Least Common Multiple (LCM) of 4028 and 4036 is 4064252.
LCM(4028,4036) = 4064252
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 4028 and 4036. First we will calculate the prime factors of 4028 and 4036.
Prime Factorization of 4028
2 | 4028 |
2 | 2014 |
19 | 1007 |
53 | 53 |
1 |
Prime factors of 4028 are 2, 19,53. Prime factorization of 4028 in exponential form is:
4028 = 22×191×531
Prime Factorization of 4036
2 | 4036 |
2 | 2018 |
1009 | 1009 |
1 |
Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:
4036 = 22×10091
Now multiplying the highest exponent prime factors to calculate the LCM of 4028 and 4036.
LCM(4028,4036) = 22×191×531×10091
LCM(4028,4036) = 4064252
Factors of 4028
List of positive integer factors of 4028 that divides 4028 without a remainder.
1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
Factors of 4036
List of positive integer factors of 4036 that divides 4036 without a remainder.
1, 2, 4, 1009, 2018, 4036
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4028 and 4036, than apply into the LCM equation.
GCF(4028,4036) = 4
LCM(4028,4036) = ( 4028 × 4036) / 4
LCM(4028,4036) = 16257008 / 4
LCM(4028,4036) = 4064252
(i) The LCM of 4036 and 4028 is associative
LCM of 4028 and 4036 = LCM of 4036 and 4028
1. What is the LCM of 4028 and 4036?
Answer: LCM of 4028 and 4036 is 4064252.
2. What are the Factors of 4028?
Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.
3. What are the Factors of 4036?
Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.
4. How to Find the LCM of 4028 and 4036?
Answer:
Least Common Multiple of 4028 and 4036 = 4064252
Step 1: Find the prime factorization of 4028
4028 = 2 x 2 x 19 x 53
Step 2: Find the prime factorization of 4036
4036 = 2 x 2 x 1009
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4064252 = 2 x 2 x 19 x 53 x 1009
Step 4: Therefore, the least common multiple of 4028 and 4036 is 4064252.