Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6389 and 6390 the smallest integer that is 40825710 that is divisible by both numbers.
Least Common Multiple (LCM) of 6389 and 6390 is 40825710.
LCM(6389,6390) = 40825710
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 6389 and 6390. First we will calculate the prime factors of 6389 and 6390.
Prime Factorization of 6389
6389 | 6389 |
1 |
Prime factors of 6389 are 6389. Prime factorization of 6389 in exponential form is:
6389 = 63891
Prime Factorization of 6390
2 | 6390 |
3 | 3195 |
3 | 1065 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 6390 are 2, 3, 5,71. Prime factorization of 6390 in exponential form is:
6390 = 21×32×51×711
Now multiplying the highest exponent prime factors to calculate the LCM of 6389 and 6390.
LCM(6389,6390) = 21×32×51×711×63891
LCM(6389,6390) = 40825710
Factors of 6389
List of positive integer factors of 6389 that divides 6389 without a remainder.
1, 6389
Factors of 6390
List of positive integer factors of 6390 that divides 6390 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6389 and 6390, than apply into the LCM equation.
GCF(6389,6390) = 1
LCM(6389,6390) = ( 6389 × 6390) / 1
LCM(6389,6390) = 40825710 / 1
LCM(6389,6390) = 40825710
(i) The LCM of 6390 and 6389 is associative
LCM of 6389 and 6390 = LCM of 6390 and 6389
1. What is the LCM of 6389 and 6390?
Answer: LCM of 6389 and 6390 is 40825710.
2. What are the Factors of 6389?
Answer: Factors of 6389 are 1, 6389. There are 2 integers that are factors of 6389. The greatest factor of 6389 is 6389.
3. What are the Factors of 6390?
Answer: Factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390. There are 24 integers that are factors of 6390. The greatest factor of 6390 is 6390.
4. How to Find the LCM of 6389 and 6390?
Answer:
Least Common Multiple of 6389 and 6390 = 40825710
Step 1: Find the prime factorization of 6389
6389 = 6389
Step 2: Find the prime factorization of 6390
6390 = 2 x 3 x 3 x 5 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40825710 = 2 x 3 x 3 x 5 x 71 x 6389
Step 4: Therefore, the least common multiple of 6389 and 6390 is 40825710.