Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9522 and 9530 the smallest integer that is 45372330 that is divisible by both numbers.
Least Common Multiple (LCM) of 9522 and 9530 is 45372330.
LCM(9522,9530) = 45372330
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 9522 and 9530. First we will calculate the prime factors of 9522 and 9530.
Prime Factorization of 9522
2 | 9522 |
3 | 4761 |
3 | 1587 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 9522 are 2, 3,23. Prime factorization of 9522 in exponential form is:
9522 = 21×32×232
Prime Factorization of 9530
2 | 9530 |
5 | 4765 |
953 | 953 |
1 |
Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:
9530 = 21×51×9531
Now multiplying the highest exponent prime factors to calculate the LCM of 9522 and 9530.
LCM(9522,9530) = 21×32×51×232×9531
LCM(9522,9530) = 45372330
Factors of 9522
List of positive integer factors of 9522 that divides 9522 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522
Factors of 9530
List of positive integer factors of 9530 that divides 9530 without a remainder.
1, 2, 5, 10, 953, 1906, 4765, 9530
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9522 and 9530, than apply into the LCM equation.
GCF(9522,9530) = 2
LCM(9522,9530) = ( 9522 × 9530) / 2
LCM(9522,9530) = 90744660 / 2
LCM(9522,9530) = 45372330
(i) The LCM of 9530 and 9522 is associative
LCM of 9522 and 9530 = LCM of 9530 and 9522
1. What is the LCM of 9522 and 9530?
Answer: LCM of 9522 and 9530 is 45372330.
2. What are the Factors of 9522?
Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.
3. What are the Factors of 9530?
Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.
4. How to Find the LCM of 9522 and 9530?
Answer:
Least Common Multiple of 9522 and 9530 = 45372330
Step 1: Find the prime factorization of 9522
9522 = 2 x 3 x 3 x 23 x 23
Step 2: Find the prime factorization of 9530
9530 = 2 x 5 x 953
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45372330 = 2 x 3 x 3 x 5 x 23 x 23 x 953
Step 4: Therefore, the least common multiple of 9522 and 9530 is 45372330.