Least Common Multiple of 9513 and 9519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9513 and 9519 the smallest integer that is 30184749 that is divisible by both numbers.

Least Common Multiple (LCM) of 9513 and 9519 is 30184749.

LCM(9513,9519) = 30184749

LCM of 9513 and 9519

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

LCM of:
and

Least Common Multiple of 9513 and 9519

LCM of 9513 and 9519 is 30184749

Least common multiple can be found by multiplying the highest exponent prime factors of 9513 and 9519. First we will calculate the prime factors of 9513 and 9519.

Prime Factorization of 9513


3 9513
3 3171
7 1057
151 151
1

Prime factors of 9513 are 3, 7,151. Prime factorization of 9513 in exponential form is:

9513 = 32×71×1511

Prime Factorization of 9519


3 9519
19 3173
167 167
1

Prime factors of 9519 are 3, 19,167. Prime factorization of 9519 in exponential form is:

9519 = 31×191×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9513 and 9519.

LCM(9513,9519) = 32×71×191×1511×1671
LCM(9513,9519) = 30184749

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513

Factors of 9519

List of positive integer factors of 9519 that divides 9519 without a remainder.

1, 3, 19, 57, 167, 501, 3173, 9519

Least Common Multiple of 9513 and 9519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9513 and 9519, than apply into the LCM equation.

GCF(9513,9519) = 3
LCM(9513,9519) = ( 9513 × 9519) / 3
LCM(9513,9519) = 90554247 / 3
LCM(9513,9519) = 30184749

Properties of LCM 9513 and 9519

(i) The LCM of 9519 and 9513 is associative

LCM of 9513 and 9519 = LCM of 9519 and 9513

Related Least Common Multiples of 9513

Related Least Common Multiples of 9519

Frequently Asked Questions on LCM of 9513 and 9519

1. What is the LCM of 9513 and 9519?

Answer: LCM of 9513 and 9519 is 30184749.

2. What are the Factors of 9513?

Answer: Factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513. There are 12 integers that are factors of 9513. The greatest factor of 9513 is 9513.

3. What are the Factors of 9519?

Answer: Factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519. There are 8 integers that are factors of 9519. The greatest factor of 9519 is 9519.

4. How to Find the LCM of 9513 and 9519?

Answer:

Least Common Multiple of 9513 and 9519 = 30184749

Step 1: Find the prime factorization of 9513

9513 = 3 x 3 x 7 x 151

Step 2: Find the prime factorization of 9519

9519 = 3 x 19 x 167

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

LCM = 30184749 = 3 x 3 x 7 x 19 x 151 x 167

Step 4: Therefore, the least common multiple of 9513 and 9519 is 30184749.