Least Common Multiple of 9293 and 9300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9293 and 9300 the smallest integer that is 86424900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9293 and 9300 is 86424900.

LCM(9293,9300) = 86424900

LCM of 9293 and 9300

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

LCM of:
and

Least Common Multiple of 9293 and 9300

LCM of 9293 and 9300 is 86424900

Least common multiple can be found by multiplying the highest exponent prime factors of 9293 and 9300. First we will calculate the prime factors of 9293 and 9300.

Prime Factorization of 9293


9293 9293
1

Prime factors of 9293 are 9293. Prime factorization of 9293 in exponential form is:

9293 = 92931

Prime Factorization of 9300


2 9300
2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 9300 are 2, 3, 5,31. Prime factorization of 9300 in exponential form is:

9300 = 22×31×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9293 and 9300.

LCM(9293,9300) = 22×31×52×311×92931
LCM(9293,9300) = 86424900

Factors of 9293

List of positive integer factors of 9293 that divides 9293 without a remainder.

1, 9293

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300

Least Common Multiple of 9293 and 9300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9293 and 9300, than apply into the LCM equation.

GCF(9293,9300) = 1
LCM(9293,9300) = ( 9293 × 9300) / 1
LCM(9293,9300) = 86424900 / 1
LCM(9293,9300) = 86424900

Properties of LCM 9293 and 9300

(i) The LCM of 9300 and 9293 is associative

LCM of 9293 and 9300 = LCM of 9300 and 9293

Related Least Common Multiples of 9293

Related Least Common Multiples of 9300

Frequently Asked Questions on LCM of 9293 and 9300

1. What is the LCM of 9293 and 9300?

Answer: LCM of 9293 and 9300 is 86424900.

2. What are the Factors of 9293?

Answer: Factors of 9293 are 1, 9293. There are 2 integers that are factors of 9293. The greatest factor of 9293 is 9293.

3. What are the Factors of 9300?

Answer: Factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300. There are 36 integers that are factors of 9300. The greatest factor of 9300 is 9300.

4. How to Find the LCM of 9293 and 9300?

Answer:

Least Common Multiple of 9293 and 9300 = 86424900

Step 1: Find the prime factorization of 9293

9293 = 9293

Step 2: Find the prime factorization of 9300

9300 = 2 x 2 x 3 x 5 x 5 x 31

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

LCM = 86424900 = 2 x 2 x 3 x 5 x 5 x 31 x 9293

Step 4: Therefore, the least common multiple of 9293 and 9300 is 86424900.