Least Common Multiple of 9515 and 9523

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 9523 the smallest integer that is 90611345 that is divisible by both numbers.

Least Common Multiple (LCM) of 9515 and 9523 is 90611345.

LCM(9515,9523) = 90611345

LCM of 9515 and 9523

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

LCM of:
and

Least Common Multiple of 9515 and 9523

LCM of 9515 and 9523 is 90611345

Least common multiple can be found by multiplying the highest exponent prime factors of 9515 and 9523. First we will calculate the prime factors of 9515 and 9523.

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 9523


89 9523
107 107
1

Prime factors of 9523 are 89,107. Prime factorization of 9523 in exponential form is:

9523 = 891×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9515 and 9523.

LCM(9515,9523) = 51×111×891×1071×1731
LCM(9515,9523) = 90611345

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 9523

List of positive integer factors of 9523 that divides 9523 without a remainder.

1, 89, 107, 9523

Least Common Multiple of 9515 and 9523 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 9523, than apply into the LCM equation.

GCF(9515,9523) = 1
LCM(9515,9523) = ( 9515 × 9523) / 1
LCM(9515,9523) = 90611345 / 1
LCM(9515,9523) = 90611345

Properties of LCM 9515 and 9523

(i) The LCM of 9523 and 9515 is associative

LCM of 9515 and 9523 = LCM of 9523 and 9515

Related Least Common Multiples of 9515

Related Least Common Multiples of 9523

Frequently Asked Questions on LCM of 9515 and 9523

1. What is the LCM of 9515 and 9523?

Answer: LCM of 9515 and 9523 is 90611345.

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 9523?

Answer: Factors of 9523 are 1, 89, 107, 9523. There are 4 integers that are factors of 9523. The greatest factor of 9523 is 9523.

4. How to Find the LCM of 9515 and 9523?

Answer:

Least Common Multiple of 9515 and 9523 = 90611345

Step 1: Find the prime factorization of 9515

9515 = 5 x 11 x 173

Step 2: Find the prime factorization of 9523

9523 = 89 x 107

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

LCM = 90611345 = 5 x 11 x 89 x 107 x 173

Step 4: Therefore, the least common multiple of 9515 and 9523 is 90611345.