Least Common Multiple of 9306 and 9314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9306 and 9314 the smallest integer that is 43338042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9306 and 9314 is 43338042.

LCM(9306,9314) = 43338042

LCM of 9306 and 9314

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

LCM of:
and

Least Common Multiple of 9306 and 9314

LCM of 9306 and 9314 is 43338042

Least common multiple can be found by multiplying the highest exponent prime factors of 9306 and 9314. First we will calculate the prime factors of 9306 and 9314.

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

Prime Factorization of 9314


2 9314
4657 4657
1

Prime factors of 9314 are 2,4657. Prime factorization of 9314 in exponential form is:

9314 = 21×46571

Now multiplying the highest exponent prime factors to calculate the LCM of 9306 and 9314.

LCM(9306,9314) = 21×32×111×471×46571
LCM(9306,9314) = 43338042

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

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1, 2, 4657, 9314

Least Common Multiple of 9306 and 9314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9306 and 9314, than apply into the LCM equation.

GCF(9306,9314) = 2
LCM(9306,9314) = ( 9306 × 9314) / 2
LCM(9306,9314) = 86676084 / 2
LCM(9306,9314) = 43338042

Properties of LCM 9306 and 9314

(i) The LCM of 9314 and 9306 is associative

LCM of 9306 and 9314 = LCM of 9314 and 9306

Related Least Common Multiples of 9306

Related Least Common Multiples of 9314

Frequently Asked Questions on LCM of 9306 and 9314

1. What is the LCM of 9306 and 9314?

Answer: LCM of 9306 and 9314 is 43338042.

2. 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.

3. What are the Factors of 9314?

Answer: Factors of 9314 are 1, 2, 4657, 9314. There are 4 integers that are factors of 9314. The greatest factor of 9314 is 9314.

4. How to Find the LCM of 9306 and 9314?

Answer:

Least Common Multiple of 9306 and 9314 = 43338042

Step 1: Find the prime factorization of 9306

9306 = 2 x 3 x 3 x 11 x 47

Step 2: Find the prime factorization of 9314

9314 = 2 x 4657

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

LCM = 43338042 = 2 x 3 x 3 x 11 x 47 x 4657

Step 4: Therefore, the least common multiple of 9306 and 9314 is 43338042.