Least Common Multiple of 9515 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 9515 and 9522 the smallest integer that is 90601830 that is divisible by both numbers.

Least Common Multiple (LCM) of 9515 and 9522 is 90601830.

LCM(9515,9522) = 90601830

LCM of 9515 and 9522

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

LCM of:
and

Least Common Multiple of 9515 and 9522

LCM of 9515 and 9522 is 90601830

Least common multiple can be found by multiplying the highest exponent prime factors of 9515 and 9522. First we will calculate the prime factors of 9515 and 9522.

Prime Factorization of 9515


5 9515
11 1903
173 173
1

Prime factors of 9515 are 5, 11,173. Prime factorization of 9515 in exponential form is:

9515 = 51×111×1731

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 9515 and 9522.

LCM(9515,9522) = 21×32×51×111×232×1731
LCM(9515,9522) = 90601830

Factors of 9515

List of positive integer factors of 9515 that divides 9515 without a remainder.

1, 5, 11, 55, 173, 865, 1903, 9515

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 9515 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 9515 and 9522, than apply into the LCM equation.

GCF(9515,9522) = 1
LCM(9515,9522) = ( 9515 × 9522) / 1
LCM(9515,9522) = 90601830 / 1
LCM(9515,9522) = 90601830

Properties of LCM 9515 and 9522

(i) The LCM of 9522 and 9515 is associative

LCM of 9515 and 9522 = LCM of 9522 and 9515

Related Least Common Multiples of 9515

Related Least Common Multiples of 9522

Frequently Asked Questions on LCM of 9515 and 9522

1. What is the LCM of 9515 and 9522?

Answer: LCM of 9515 and 9522 is 90601830.

2. What are the Factors of 9515?

Answer: Factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515. There are 8 integers that are factors of 9515. The greatest factor of 9515 is 9515.

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 9515 and 9522?

Answer:

Least Common Multiple of 9515 and 9522 = 90601830

Step 1: Find the prime factorization of 9515

9515 = 5 x 11 x 173

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 = 90601830 = 2 x 3 x 3 x 5 x 11 x 23 x 23 x 173

Step 4: Therefore, the least common multiple of 9515 and 9522 is 90601830.