Least Common Multiple of 9295 and 9302

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 9302 the smallest integer that is 86462090 that is divisible by both numbers.

Least Common Multiple (LCM) of 9295 and 9302 is 86462090.

LCM(9295,9302) = 86462090

LCM of 9295 and 9302

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

LCM of:
and

Least Common Multiple of 9295 and 9302

LCM of 9295 and 9302 is 86462090

Least common multiple can be found by multiplying the highest exponent prime factors of 9295 and 9302. First we will calculate the prime factors of 9295 and 9302.

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 9302


2 9302
4651 4651
1

Prime factors of 9302 are 2,4651. Prime factorization of 9302 in exponential form is:

9302 = 21×46511

Now multiplying the highest exponent prime factors to calculate the LCM of 9295 and 9302.

LCM(9295,9302) = 21×51×111×132×46511
LCM(9295,9302) = 86462090

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 9302

List of positive integer factors of 9302 that divides 9302 without a remainder.

1, 2, 4651, 9302

Least Common Multiple of 9295 and 9302 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 9302, than apply into the LCM equation.

GCF(9295,9302) = 1
LCM(9295,9302) = ( 9295 × 9302) / 1
LCM(9295,9302) = 86462090 / 1
LCM(9295,9302) = 86462090

Properties of LCM 9295 and 9302

(i) The LCM of 9302 and 9295 is associative

LCM of 9295 and 9302 = LCM of 9302 and 9295

Related Least Common Multiples of 9295

Related Least Common Multiples of 9302

Frequently Asked Questions on LCM of 9295 and 9302

1. What is the LCM of 9295 and 9302?

Answer: LCM of 9295 and 9302 is 86462090.

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 9302?

Answer: Factors of 9302 are 1, 2, 4651, 9302. There are 4 integers that are factors of 9302. The greatest factor of 9302 is 9302.

4. How to Find the LCM of 9295 and 9302?

Answer:

Least Common Multiple of 9295 and 9302 = 86462090

Step 1: Find the prime factorization of 9295

9295 = 5 x 11 x 13 x 13

Step 2: Find the prime factorization of 9302

9302 = 2 x 4651

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

LCM = 86462090 = 2 x 5 x 11 x 13 x 13 x 4651

Step 4: Therefore, the least common multiple of 9295 and 9302 is 86462090.