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 9526 the smallest integer that is 45353286 that is divisible by both numbers.
Least Common Multiple (LCM) of 9522 and 9526 is 45353286.
LCM(9522,9526) = 45353286
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 9526. First we will calculate the prime factors of 9522 and 9526.
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 9526
2 | 9526 |
11 | 4763 |
433 | 433 |
1 |
Prime factors of 9526 are 2, 11,433. Prime factorization of 9526 in exponential form is:
9526 = 21×111×4331
Now multiplying the highest exponent prime factors to calculate the LCM of 9522 and 9526.
LCM(9522,9526) = 21×32×111×232×4331
LCM(9522,9526) = 45353286
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 9526
List of positive integer factors of 9526 that divides 9526 without a remainder.
1, 2, 11, 22, 433, 866, 4763, 9526
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9522 and 9526, than apply into the LCM equation.
GCF(9522,9526) = 2
LCM(9522,9526) = ( 9522 × 9526) / 2
LCM(9522,9526) = 90706572 / 2
LCM(9522,9526) = 45353286
(i) The LCM of 9526 and 9522 is associative
LCM of 9522 and 9526 = LCM of 9526 and 9522
1. What is the LCM of 9522 and 9526?
Answer: LCM of 9522 and 9526 is 45353286.
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 9526?
Answer: Factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526. There are 8 integers that are factors of 9526. The greatest factor of 9526 is 9526.
4. How to Find the LCM of 9522 and 9526?
Answer:
Least Common Multiple of 9522 and 9526 = 45353286
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 9526
9526 = 2 x 11 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45353286 = 2 x 3 x 3 x 11 x 23 x 23 x 433
Step 4: Therefore, the least common multiple of 9522 and 9526 is 45353286.