Least Common Multiple of 9302 and 9306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9302 and 9306 the smallest integer that is 43282206 that is divisible by both numbers.

Least Common Multiple (LCM) of 9302 and 9306 is 43282206.

LCM(9302,9306) = 43282206

LCM of 9302 and 9306

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

LCM of:
and

Least Common Multiple of 9302 and 9306

LCM of 9302 and 9306 is 43282206

Least common multiple can be found by multiplying the highest exponent prime factors of 9302 and 9306. First we will calculate the prime factors of 9302 and 9306.

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

Prime Factorization of 9306


2 9306
3 4653
3 1551
11 517
47 47
1

Prime factors of 9306 are 2, 3, 11,47. Prime factorization of 9306 in exponential form is:

9306 = 21×32×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9302 and 9306.

LCM(9302,9306) = 21×32×111×471×46511
LCM(9302,9306) = 43282206

Factors of 9302

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

1, 2, 4651, 9302

Factors of 9306

List of positive integer factors of 9306 that divides 9306 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306

Least Common Multiple of 9302 and 9306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9302 and 9306, than apply into the LCM equation.

GCF(9302,9306) = 2
LCM(9302,9306) = ( 9302 × 9306) / 2
LCM(9302,9306) = 86564412 / 2
LCM(9302,9306) = 43282206

Properties of LCM 9302 and 9306

(i) The LCM of 9306 and 9302 is associative

LCM of 9302 and 9306 = LCM of 9306 and 9302

Related Least Common Multiples of 9302

Related Least Common Multiples of 9306

Frequently Asked Questions on LCM of 9302 and 9306

1. What is the LCM of 9302 and 9306?

Answer: LCM of 9302 and 9306 is 43282206.

2. 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.

3. What are the Factors of 9306?

Answer: Factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306. There are 24 integers that are factors of 9306. The greatest factor of 9306 is 9306.

4. How to Find the LCM of 9302 and 9306?

Answer:

Least Common Multiple of 9302 and 9306 = 43282206

Step 1: Find the prime factorization of 9302

9302 = 2 x 4651

Step 2: Find the prime factorization of 9306

9306 = 2 x 3 x 3 x 11 x 47

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

LCM = 43282206 = 2 x 3 x 3 x 11 x 47 x 4651

Step 4: Therefore, the least common multiple of 9302 and 9306 is 43282206.