Least Common Multiple of 9297 and 9305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9297 and 9305 the smallest integer that is 86508585 that is divisible by both numbers.

Least Common Multiple (LCM) of 9297 and 9305 is 86508585.

LCM(9297,9305) = 86508585

LCM of 9297 and 9305

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

LCM of:
and

Least Common Multiple of 9297 and 9305

LCM of 9297 and 9305 is 86508585

Least common multiple can be found by multiplying the highest exponent prime factors of 9297 and 9305. First we will calculate the prime factors of 9297 and 9305.

Prime Factorization of 9297


3 9297
3 3099
1033 1033
1

Prime factors of 9297 are 3,1033. Prime factorization of 9297 in exponential form is:

9297 = 32×10331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9297 and 9305.

LCM(9297,9305) = 32×51×10331×18611
LCM(9297,9305) = 86508585

Factors of 9297

List of positive integer factors of 9297 that divides 9297 without a remainder.

1, 3, 9, 1033, 3099, 9297

Factors of 9305

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

1, 5, 1861, 9305

Least Common Multiple of 9297 and 9305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9297 and 9305, than apply into the LCM equation.

GCF(9297,9305) = 1
LCM(9297,9305) = ( 9297 × 9305) / 1
LCM(9297,9305) = 86508585 / 1
LCM(9297,9305) = 86508585

Properties of LCM 9297 and 9305

(i) The LCM of 9305 and 9297 is associative

LCM of 9297 and 9305 = LCM of 9305 and 9297

Related Least Common Multiples of 9297

Related Least Common Multiples of 9305

Frequently Asked Questions on LCM of 9297 and 9305

1. What is the LCM of 9297 and 9305?

Answer: LCM of 9297 and 9305 is 86508585.

2. What are the Factors of 9297?

Answer: Factors of 9297 are 1, 3, 9, 1033, 3099, 9297. There are 6 integers that are factors of 9297. The greatest factor of 9297 is 9297.

3. 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.

4. How to Find the LCM of 9297 and 9305?

Answer:

Least Common Multiple of 9297 and 9305 = 86508585

Step 1: Find the prime factorization of 9297

9297 = 3 x 3 x 1033

Step 2: Find the prime factorization of 9305

9305 = 5 x 1861

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

LCM = 86508585 = 3 x 3 x 5 x 1033 x 1861

Step 4: Therefore, the least common multiple of 9297 and 9305 is 86508585.