Least Common Multiple of 9516 and 9522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9516 and 9522 the smallest integer that is 15101892 that is divisible by both numbers.

Least Common Multiple (LCM) of 9516 and 9522 is 15101892.

LCM(9516,9522) = 15101892

LCM of 9516 and 9522

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

LCM of:
and

Least Common Multiple of 9516 and 9522

LCM of 9516 and 9522 is 15101892

Least common multiple can be found by multiplying the highest exponent prime factors of 9516 and 9522. First we will calculate the prime factors of 9516 and 9522.

Prime Factorization of 9516


2 9516
2 4758
3 2379
13 793
61 61
1

Prime factors of 9516 are 2, 3, 13,61. Prime factorization of 9516 in exponential form is:

9516 = 22×31×131×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9516 and 9522.

LCM(9516,9522) = 22×32×131×232×611
LCM(9516,9522) = 15101892

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516

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

Least Common Multiple of 9516 and 9522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9516 and 9522, than apply into the LCM equation.

GCF(9516,9522) = 6
LCM(9516,9522) = ( 9516 × 9522) / 6
LCM(9516,9522) = 90611352 / 6
LCM(9516,9522) = 15101892

Properties of LCM 9516 and 9522

(i) The LCM of 9522 and 9516 is associative

LCM of 9516 and 9522 = LCM of 9522 and 9516

Related Least Common Multiples of 9516

Related Least Common Multiples of 9522

Frequently Asked Questions on LCM of 9516 and 9522

1. What is the LCM of 9516 and 9522?

Answer: LCM of 9516 and 9522 is 15101892.

2. What are the Factors of 9516?

Answer: Factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516. There are 24 integers that are factors of 9516. The greatest factor of 9516 is 9516.

3. 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.

4. How to Find the LCM of 9516 and 9522?

Answer:

Least Common Multiple of 9516 and 9522 = 15101892

Step 1: Find the prime factorization of 9516

9516 = 2 x 2 x 3 x 13 x 61

Step 2: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

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

LCM = 15101892 = 2 x 2 x 3 x 3 x 13 x 23 x 23 x 61

Step 4: Therefore, the least common multiple of 9516 and 9522 is 15101892.