Least Common Multiple of 9305 and 9309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9305 and 9309 the smallest integer that is 86620245 that is divisible by both numbers.

Least Common Multiple (LCM) of 9305 and 9309 is 86620245.

LCM(9305,9309) = 86620245

LCM of 9305 and 9309

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

LCM of:
and

Least Common Multiple of 9305 and 9309

LCM of 9305 and 9309 is 86620245

Least common multiple can be found by multiplying the highest exponent prime factors of 9305 and 9309. First we will calculate the prime factors of 9305 and 9309.

Prime Factorization of 9305


5 9305
1861 1861
1

Prime factors of 9305 are 5,1861. Prime factorization of 9305 in exponential form is:

9305 = 51×18611

Prime Factorization of 9309


3 9309
29 3103
107 107
1

Prime factors of 9309 are 3, 29,107. Prime factorization of 9309 in exponential form is:

9309 = 31×291×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9305 and 9309.

LCM(9305,9309) = 31×51×291×1071×18611
LCM(9305,9309) = 86620245

Factors of 9305

List of positive integer factors of 9305 that divides 9305 without a remainder.

1, 5, 1861, 9305

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1, 3, 29, 87, 107, 321, 3103, 9309

Least Common Multiple of 9305 and 9309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9305 and 9309, than apply into the LCM equation.

GCF(9305,9309) = 1
LCM(9305,9309) = ( 9305 × 9309) / 1
LCM(9305,9309) = 86620245 / 1
LCM(9305,9309) = 86620245

Properties of LCM 9305 and 9309

(i) The LCM of 9309 and 9305 is associative

LCM of 9305 and 9309 = LCM of 9309 and 9305

Related Least Common Multiples of 9305

Related Least Common Multiples of 9309

Frequently Asked Questions on LCM of 9305 and 9309

1. What is the LCM of 9305 and 9309?

Answer: LCM of 9305 and 9309 is 86620245.

2. What are the Factors of 9305?

Answer: Factors of 9305 are 1, 5, 1861, 9305. There are 4 integers that are factors of 9305. The greatest factor of 9305 is 9305.

3. What are the Factors of 9309?

Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.

4. How to Find the LCM of 9305 and 9309?

Answer:

Least Common Multiple of 9305 and 9309 = 86620245

Step 1: Find the prime factorization of 9305

9305 = 5 x 1861

Step 2: Find the prime factorization of 9309

9309 = 3 x 29 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 = 86620245 = 3 x 5 x 29 x 107 x 1861

Step 4: Therefore, the least common multiple of 9305 and 9309 is 86620245.