Least Common Multiple of 9301 and 9303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9301 and 9303 the smallest integer that is 86527203 that is divisible by both numbers.

Least Common Multiple (LCM) of 9301 and 9303 is 86527203.

LCM(9301,9303) = 86527203

LCM of 9301 and 9303

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

LCM of:
and

Least Common Multiple of 9301 and 9303

LCM of 9301 and 9303 is 86527203

Least common multiple can be found by multiplying the highest exponent prime factors of 9301 and 9303. First we will calculate the prime factors of 9301 and 9303.

Prime Factorization of 9301


71 9301
131 131
1

Prime factors of 9301 are 71,131. Prime factorization of 9301 in exponential form is:

9301 = 711×1311

Prime Factorization of 9303


3 9303
7 3101
443 443
1

Prime factors of 9303 are 3, 7,443. Prime factorization of 9303 in exponential form is:

9303 = 31×71×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 9301 and 9303.

LCM(9301,9303) = 31×71×711×1311×4431
LCM(9301,9303) = 86527203

Factors of 9301

List of positive integer factors of 9301 that divides 9301 without a remainder.

1, 71, 131, 9301

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1, 3, 7, 21, 443, 1329, 3101, 9303

Least Common Multiple of 9301 and 9303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9301 and 9303, than apply into the LCM equation.

GCF(9301,9303) = 1
LCM(9301,9303) = ( 9301 × 9303) / 1
LCM(9301,9303) = 86527203 / 1
LCM(9301,9303) = 86527203

Properties of LCM 9301 and 9303

(i) The LCM of 9303 and 9301 is associative

LCM of 9301 and 9303 = LCM of 9303 and 9301

Related Least Common Multiples of 9301

Related Least Common Multiples of 9303

Frequently Asked Questions on LCM of 9301 and 9303

1. What is the LCM of 9301 and 9303?

Answer: LCM of 9301 and 9303 is 86527203.

2. What are the Factors of 9301?

Answer: Factors of 9301 are 1, 71, 131, 9301. There are 4 integers that are factors of 9301. The greatest factor of 9301 is 9301.

3. What are the Factors of 9303?

Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.

4. How to Find the LCM of 9301 and 9303?

Answer:

Least Common Multiple of 9301 and 9303 = 86527203

Step 1: Find the prime factorization of 9301

9301 = 71 x 131

Step 2: Find the prime factorization of 9303

9303 = 3 x 7 x 443

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

LCM = 86527203 = 3 x 7 x 71 x 131 x 443

Step 4: Therefore, the least common multiple of 9301 and 9303 is 86527203.