Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9566 and 9570 the smallest integer that is 45773310 that is divisible by both numbers.
Least Common Multiple (LCM) of 9566 and 9570 is 45773310.
LCM(9566,9570) = 45773310
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 9566 and 9570. First we will calculate the prime factors of 9566 and 9570.
Prime Factorization of 9566
2 | 9566 |
4783 | 4783 |
1 |
Prime factors of 9566 are 2,4783. Prime factorization of 9566 in exponential form is:
9566 = 21×47831
Prime Factorization of 9570
2 | 9570 |
3 | 4785 |
5 | 1595 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 9570 are 2, 3, 5, 11,29. Prime factorization of 9570 in exponential form is:
9570 = 21×31×51×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9566 and 9570.
LCM(9566,9570) = 21×31×51×111×291×47831
LCM(9566,9570) = 45773310
Factors of 9566
List of positive integer factors of 9566 that divides 9566 without a remainder.
1, 2, 4783, 9566
Factors of 9570
List of positive integer factors of 9570 that divides 9570 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9566 and 9570, than apply into the LCM equation.
GCF(9566,9570) = 2
LCM(9566,9570) = ( 9566 × 9570) / 2
LCM(9566,9570) = 91546620 / 2
LCM(9566,9570) = 45773310
(i) The LCM of 9570 and 9566 is associative
LCM of 9566 and 9570 = LCM of 9570 and 9566
1. What is the LCM of 9566 and 9570?
Answer: LCM of 9566 and 9570 is 45773310.
2. What are the Factors of 9566?
Answer: Factors of 9566 are 1, 2, 4783, 9566. There are 4 integers that are factors of 9566. The greatest factor of 9566 is 9566.
3. What are the Factors of 9570?
Answer: Factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570. There are 32 integers that are factors of 9570. The greatest factor of 9570 is 9570.
4. How to Find the LCM of 9566 and 9570?
Answer:
Least Common Multiple of 9566 and 9570 = 45773310
Step 1: Find the prime factorization of 9566
9566 = 2 x 4783
Step 2: Find the prime factorization of 9570
9570 = 2 x 3 x 5 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45773310 = 2 x 3 x 5 x 11 x 29 x 4783
Step 4: Therefore, the least common multiple of 9566 and 9570 is 45773310.