Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9578 and 9585 the smallest integer that is 91805130 that is divisible by both numbers.
Least Common Multiple (LCM) of 9578 and 9585 is 91805130.
LCM(9578,9585) = 91805130
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 9578 and 9585. First we will calculate the prime factors of 9578 and 9585.
Prime Factorization of 9578
2 | 9578 |
4789 | 4789 |
1 |
Prime factors of 9578 are 2,4789. Prime factorization of 9578 in exponential form is:
9578 = 21×47891
Prime Factorization of 9585
3 | 9585 |
3 | 3195 |
3 | 1065 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 9585 are 3, 5,71. Prime factorization of 9585 in exponential form is:
9585 = 33×51×711
Now multiplying the highest exponent prime factors to calculate the LCM of 9578 and 9585.
LCM(9578,9585) = 21×33×51×711×47891
LCM(9578,9585) = 91805130
Factors of 9578
List of positive integer factors of 9578 that divides 9578 without a remainder.
1, 2, 4789, 9578
Factors of 9585
List of positive integer factors of 9585 that divides 9585 without a remainder.
1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9578 and 9585, than apply into the LCM equation.
GCF(9578,9585) = 1
LCM(9578,9585) = ( 9578 × 9585) / 1
LCM(9578,9585) = 91805130 / 1
LCM(9578,9585) = 91805130
(i) The LCM of 9585 and 9578 is associative
LCM of 9578 and 9585 = LCM of 9585 and 9578
1. What is the LCM of 9578 and 9585?
Answer: LCM of 9578 and 9585 is 91805130.
2. What are the Factors of 9578?
Answer: Factors of 9578 are 1, 2, 4789, 9578. There are 4 integers that are factors of 9578. The greatest factor of 9578 is 9578.
3. What are the Factors of 9585?
Answer: Factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585. There are 16 integers that are factors of 9585. The greatest factor of 9585 is 9585.
4. How to Find the LCM of 9578 and 9585?
Answer:
Least Common Multiple of 9578 and 9585 = 91805130
Step 1: Find the prime factorization of 9578
9578 = 2 x 4789
Step 2: Find the prime factorization of 9585
9585 = 3 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 = 91805130 = 2 x 3 x 3 x 3 x 5 x 71 x 4789
Step 4: Therefore, the least common multiple of 9578 and 9585 is 91805130.