Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8026 and 8034 the smallest integer that is 32240442 that is divisible by both numbers.
Least Common Multiple (LCM) of 8026 and 8034 is 32240442.
LCM(8026,8034) = 32240442
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 8026 and 8034. First we will calculate the prime factors of 8026 and 8034.
Prime Factorization of 8026
2 | 8026 |
4013 | 4013 |
1 |
Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:
8026 = 21×40131
Prime Factorization of 8034
2 | 8034 |
3 | 4017 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 8034 are 2, 3, 13,103. Prime factorization of 8034 in exponential form is:
8034 = 21×31×131×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 8026 and 8034.
LCM(8026,8034) = 21×31×131×1031×40131
LCM(8026,8034) = 32240442
Factors of 8026
List of positive integer factors of 8026 that divides 8026 without a remainder.
1, 2, 4013, 8026
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8026 and 8034, than apply into the LCM equation.
GCF(8026,8034) = 2
LCM(8026,8034) = ( 8026 × 8034) / 2
LCM(8026,8034) = 64480884 / 2
LCM(8026,8034) = 32240442
(i) The LCM of 8034 and 8026 is associative
LCM of 8026 and 8034 = LCM of 8034 and 8026
1. What is the LCM of 8026 and 8034?
Answer: LCM of 8026 and 8034 is 32240442.
2. What are the Factors of 8026?
Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.
3. What are the Factors of 8034?
Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.
4. How to Find the LCM of 8026 and 8034?
Answer:
Least Common Multiple of 8026 and 8034 = 32240442
Step 1: Find the prime factorization of 8026
8026 = 2 x 4013
Step 2: Find the prime factorization of 8034
8034 = 2 x 3 x 13 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32240442 = 2 x 3 x 13 x 103 x 4013
Step 4: Therefore, the least common multiple of 8026 and 8034 is 32240442.