Least Common Multiple of 9305 and 9310

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 9310 the smallest integer that is 17325910 that is divisible by both numbers.

Least Common Multiple (LCM) of 9305 and 9310 is 17325910.

LCM(9305,9310) = 17325910

LCM of 9305 and 9310

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

LCM of:
and

Least Common Multiple of 9305 and 9310

LCM of 9305 and 9310 is 17325910

Least common multiple can be found by multiplying the highest exponent prime factors of 9305 and 9310. First we will calculate the prime factors of 9305 and 9310.

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 9310


2 9310
5 4655
7 931
7 133
19 19
1

Prime factors of 9310 are 2, 5, 7,19. Prime factorization of 9310 in exponential form is:

9310 = 21×51×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9305 and 9310.

LCM(9305,9310) = 21×51×72×191×18611
LCM(9305,9310) = 17325910

Factors of 9305

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

1, 5, 1861, 9305

Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310

Least Common Multiple of 9305 and 9310 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 9310, than apply into the LCM equation.

GCF(9305,9310) = 5
LCM(9305,9310) = ( 9305 × 9310) / 5
LCM(9305,9310) = 86629550 / 5
LCM(9305,9310) = 17325910

Properties of LCM 9305 and 9310

(i) The LCM of 9310 and 9305 is associative

LCM of 9305 and 9310 = LCM of 9310 and 9305

Related Least Common Multiples of 9305

Related Least Common Multiples of 9310

Frequently Asked Questions on LCM of 9305 and 9310

1. What is the LCM of 9305 and 9310?

Answer: LCM of 9305 and 9310 is 17325910.

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 9310?

Answer: Factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310. There are 24 integers that are factors of 9310. The greatest factor of 9310 is 9310.

4. How to Find the LCM of 9305 and 9310?

Answer:

Least Common Multiple of 9305 and 9310 = 17325910

Step 1: Find the prime factorization of 9305

9305 = 5 x 1861

Step 2: Find the prime factorization of 9310

9310 = 2 x 5 x 7 x 7 x 19

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

LCM = 17325910 = 2 x 5 x 7 x 7 x 19 x 1861

Step 4: Therefore, the least common multiple of 9305 and 9310 is 17325910.