Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36034 and 36039 the smallest integer that is 1298629326 that is divisible by both numbers.
Least Common Multiple (LCM) of 36034 and 36039 is 1298629326.
LCM(36034,36039) = 1298629326
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 36034 and 36039. First we will calculate the prime factors of 36034 and 36039.
Prime Factorization of 36034
2 | 36034 |
43 | 18017 |
419 | 419 |
1 |
Prime factors of 36034 are 2, 43,419. Prime factorization of 36034 in exponential form is:
36034 = 21×431×4191
Prime Factorization of 36039
3 | 36039 |
41 | 12013 |
293 | 293 |
1 |
Prime factors of 36039 are 3, 41,293. Prime factorization of 36039 in exponential form is:
36039 = 31×411×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 36034 and 36039.
LCM(36034,36039) = 21×31×411×431×2931×4191
LCM(36034,36039) = 1298629326
Factors of 36034
List of positive integer factors of 36034 that divides 36034 without a remainder.
1, 2, 43, 86, 419, 838, 18017, 36034
Factors of 36039
List of positive integer factors of 36039 that divides 36039 without a remainder.
1, 3, 41, 123, 293, 879, 12013, 36039
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36034 and 36039, than apply into the LCM equation.
GCF(36034,36039) = 1
LCM(36034,36039) = ( 36034 × 36039) / 1
LCM(36034,36039) = 1298629326 / 1
LCM(36034,36039) = 1298629326
(i) The LCM of 36039 and 36034 is associative
LCM of 36034 and 36039 = LCM of 36039 and 36034
1. What is the LCM of 36034 and 36039?
Answer: LCM of 36034 and 36039 is 1298629326.
2. What are the Factors of 36034?
Answer: Factors of 36034 are 1, 2, 43, 86, 419, 838, 18017, 36034. There are 8 integers that are factors of 36034. The greatest factor of 36034 is 36034.
3. What are the Factors of 36039?
Answer: Factors of 36039 are 1, 3, 41, 123, 293, 879, 12013, 36039. There are 8 integers that are factors of 36039. The greatest factor of 36039 is 36039.
4. How to Find the LCM of 36034 and 36039?
Answer:
Least Common Multiple of 36034 and 36039 = 1298629326
Step 1: Find the prime factorization of 36034
36034 = 2 x 43 x 419
Step 2: Find the prime factorization of 36039
36039 = 3 x 41 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1298629326 = 2 x 3 x 41 x 43 x 293 x 419
Step 4: Therefore, the least common multiple of 36034 and 36039 is 1298629326.