Least Common Multiple of 9295 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 9295 and 9300 the smallest integer that is 17288700 that is divisible by both numbers.

Least Common Multiple (LCM) of 9295 and 9300 is 17288700.

LCM(9295,9300) = 17288700

LCM of 9295 and 9300

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

LCM of:
and

Least Common Multiple of 9295 and 9300

LCM of 9295 and 9300 is 17288700

Least common multiple can be found by multiplying the highest exponent prime factors of 9295 and 9300. First we will calculate the prime factors of 9295 and 9300.

Prime Factorization of 9295


5 9295
11 1859
13 169
13 13
1

Prime factors of 9295 are 5, 11,13. Prime factorization of 9295 in exponential form is:

9295 = 51×111×132

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 9295 and 9300.

LCM(9295,9300) = 22×31×52×111×132×311
LCM(9295,9300) = 17288700

Factors of 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295

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 9295 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 9295 and 9300, than apply into the LCM equation.

GCF(9295,9300) = 5
LCM(9295,9300) = ( 9295 × 9300) / 5
LCM(9295,9300) = 86443500 / 5
LCM(9295,9300) = 17288700

Properties of LCM 9295 and 9300

(i) The LCM of 9300 and 9295 is associative

LCM of 9295 and 9300 = LCM of 9300 and 9295

Related Least Common Multiples of 9295

Related Least Common Multiples of 9300

Frequently Asked Questions on LCM of 9295 and 9300

1. What is the LCM of 9295 and 9300?

Answer: LCM of 9295 and 9300 is 17288700.

2. What are the Factors of 9295?

Answer: Factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295. There are 12 integers that are factors of 9295. The greatest factor of 9295 is 9295.

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 9295 and 9300?

Answer:

Least Common Multiple of 9295 and 9300 = 17288700

Step 1: Find the prime factorization of 9295

9295 = 5 x 11 x 13 x 13

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 = 17288700 = 2 x 2 x 3 x 5 x 5 x 11 x 13 x 13 x 31

Step 4: Therefore, the least common multiple of 9295 and 9300 is 17288700.