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 4032 the smallest integer that is 4060224 that is divisible by both numbers.
Least Common Multiple (LCM) of 4028 and 4032 is 4060224.
LCM(4028,4032) = 4060224
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 4032. First we will calculate the prime factors of 4028 and 4032.
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 4032
2 | 4032 |
2 | 2016 |
2 | 1008 |
2 | 504 |
2 | 252 |
2 | 126 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 4032 are 2, 3,7. Prime factorization of 4032 in exponential form is:
4032 = 26×32×71
Now multiplying the highest exponent prime factors to calculate the LCM of 4028 and 4032.
LCM(4028,4032) = 26×32×71×191×531
LCM(4028,4032) = 4060224
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 4032
List of positive integer factors of 4032 that divides 4032 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4028 and 4032, than apply into the LCM equation.
GCF(4028,4032) = 4
LCM(4028,4032) = ( 4028 × 4032) / 4
LCM(4028,4032) = 16240896 / 4
LCM(4028,4032) = 4060224
(i) The LCM of 4032 and 4028 is associative
LCM of 4028 and 4032 = LCM of 4032 and 4028
1. What is the LCM of 4028 and 4032?
Answer: LCM of 4028 and 4032 is 4060224.
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 4032?
Answer: Factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032. There are 42 integers that are factors of 4032. The greatest factor of 4032 is 4032.
4. How to Find the LCM of 4028 and 4032?
Answer:
Least Common Multiple of 4028 and 4032 = 4060224
Step 1: Find the prime factorization of 4028
4028 = 2 x 2 x 19 x 53
Step 2: Find the prime factorization of 4032
4032 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4060224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 53
Step 4: Therefore, the least common multiple of 4028 and 4032 is 4060224.