Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67024 and 67028 the smallest integer that is 1123121168 that is divisible by both numbers.
Least Common Multiple (LCM) of 67024 and 67028 is 1123121168.
LCM(67024,67028) = 1123121168
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 67024 and 67028. First we will calculate the prime factors of 67024 and 67028.
Prime Factorization of 67024
2 | 67024 |
2 | 33512 |
2 | 16756 |
2 | 8378 |
59 | 4189 |
71 | 71 |
1 |
Prime factors of 67024 are 2, 59,71. Prime factorization of 67024 in exponential form is:
67024 = 24×591×711
Prime Factorization of 67028
2 | 67028 |
2 | 33514 |
13 | 16757 |
1289 | 1289 |
1 |
Prime factors of 67028 are 2, 13,1289. Prime factorization of 67028 in exponential form is:
67028 = 22×131×12891
Now multiplying the highest exponent prime factors to calculate the LCM of 67024 and 67028.
LCM(67024,67028) = 24×131×591×711×12891
LCM(67024,67028) = 1123121168
Factors of 67024
List of positive integer factors of 67024 that divides 67024 without a remainder.
1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024
Factors of 67028
List of positive integer factors of 67028 that divides 67028 without a remainder.
1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67024 and 67028, than apply into the LCM equation.
GCF(67024,67028) = 4
LCM(67024,67028) = ( 67024 × 67028) / 4
LCM(67024,67028) = 4492484672 / 4
LCM(67024,67028) = 1123121168
(i) The LCM of 67028 and 67024 is associative
LCM of 67024 and 67028 = LCM of 67028 and 67024
1. What is the LCM of 67024 and 67028?
Answer: LCM of 67024 and 67028 is 1123121168.
2. What are the Factors of 67024?
Answer: Factors of 67024 are 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024. There are 20 integers that are factors of 67024. The greatest factor of 67024 is 67024.
3. What are the Factors of 67028?
Answer: Factors of 67028 are 1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028. There are 12 integers that are factors of 67028. The greatest factor of 67028 is 67028.
4. How to Find the LCM of 67024 and 67028?
Answer:
Least Common Multiple of 67024 and 67028 = 1123121168
Step 1: Find the prime factorization of 67024
67024 = 2 x 2 x 2 x 2 x 59 x 71
Step 2: Find the prime factorization of 67028
67028 = 2 x 2 x 13 x 1289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1123121168 = 2 x 2 x 2 x 2 x 13 x 59 x 71 x 1289
Step 4: Therefore, the least common multiple of 67024 and 67028 is 1123121168.