Least Common Multiple of 9522 and 9527

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 9527 the smallest integer that is 90716094 that is divisible by both numbers.

Least Common Multiple (LCM) of 9522 and 9527 is 90716094.

LCM(9522,9527) = 90716094

LCM of 9522 and 9527

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9522 and 9527

LCM of 9522 and 9527 is 90716094

Least common multiple can be found by multiplying the highest exponent prime factors of 9522 and 9527. First we will calculate the prime factors of 9522 and 9527.

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 9527


7 9527
1361 1361
1

Prime factors of 9527 are 7,1361. Prime factorization of 9527 in exponential form is:

9527 = 71×13611

Now multiplying the highest exponent prime factors to calculate the LCM of 9522 and 9527.

LCM(9522,9527) = 21×32×71×232×13611
LCM(9522,9527) = 90716094

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 9527

List of positive integer factors of 9527 that divides 9527 without a remainder.

1, 7, 1361, 9527

Least Common Multiple of 9522 and 9527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9522 and 9527, than apply into the LCM equation.

GCF(9522,9527) = 1
LCM(9522,9527) = ( 9522 × 9527) / 1
LCM(9522,9527) = 90716094 / 1
LCM(9522,9527) = 90716094

Properties of LCM 9522 and 9527

(i) The LCM of 9527 and 9522 is associative

LCM of 9522 and 9527 = LCM of 9527 and 9522

Related Least Common Multiples of 9522

Related Least Common Multiples of 9527

Frequently Asked Questions on LCM of 9522 and 9527

1. What is the LCM of 9522 and 9527?

Answer: LCM of 9522 and 9527 is 90716094.

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 9527?

Answer: Factors of 9527 are 1, 7, 1361, 9527. There are 4 integers that are factors of 9527. The greatest factor of 9527 is 9527.

4. How to Find the LCM of 9522 and 9527?

Answer:

Least Common Multiple of 9522 and 9527 = 90716094

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 9527

9527 = 7 x 1361

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 90716094 = 2 x 3 x 3 x 7 x 23 x 23 x 1361

Step 4: Therefore, the least common multiple of 9522 and 9527 is 90716094.