Least Common Multiple of 9226 and 9230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9226 and 9230 the smallest integer that is 42577990 that is divisible by both numbers.

Least Common Multiple (LCM) of 9226 and 9230 is 42577990.

LCM(9226,9230) = 42577990

LCM of 9226 and 9230

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

LCM of:
and

Least Common Multiple of 9226 and 9230

LCM of 9226 and 9230 is 42577990

Least common multiple can be found by multiplying the highest exponent prime factors of 9226 and 9230. First we will calculate the prime factors of 9226 and 9230.

Prime Factorization of 9226


2 9226
7 4613
659 659
1

Prime factors of 9226 are 2, 7,659. Prime factorization of 9226 in exponential form is:

9226 = 21×71×6591

Prime Factorization of 9230


2 9230
5 4615
13 923
71 71
1

Prime factors of 9230 are 2, 5, 13,71. Prime factorization of 9230 in exponential form is:

9230 = 21×51×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9226 and 9230.

LCM(9226,9230) = 21×51×71×131×711×6591
LCM(9226,9230) = 42577990

Factors of 9226

List of positive integer factors of 9226 that divides 9226 without a remainder.

1, 2, 7, 14, 659, 1318, 4613, 9226

Factors of 9230

List of positive integer factors of 9230 that divides 9230 without a remainder.

1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230

Least Common Multiple of 9226 and 9230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9226 and 9230, than apply into the LCM equation.

GCF(9226,9230) = 2
LCM(9226,9230) = ( 9226 × 9230) / 2
LCM(9226,9230) = 85155980 / 2
LCM(9226,9230) = 42577990

Properties of LCM 9226 and 9230

(i) The LCM of 9230 and 9226 is associative

LCM of 9226 and 9230 = LCM of 9230 and 9226

Related Least Common Multiples of 9226

Related Least Common Multiples of 9230

Frequently Asked Questions on LCM of 9226 and 9230

1. What is the LCM of 9226 and 9230?

Answer: LCM of 9226 and 9230 is 42577990.

2. What are the Factors of 9226?

Answer: Factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226. There are 8 integers that are factors of 9226. The greatest factor of 9226 is 9226.

3. What are the Factors of 9230?

Answer: Factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230. There are 16 integers that are factors of 9230. The greatest factor of 9230 is 9230.

4. How to Find the LCM of 9226 and 9230?

Answer:

Least Common Multiple of 9226 and 9230 = 42577990

Step 1: Find the prime factorization of 9226

9226 = 2 x 7 x 659

Step 2: Find the prime factorization of 9230

9230 = 2 x 5 x 13 x 71

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

LCM = 42577990 = 2 x 5 x 7 x 13 x 71 x 659

Step 4: Therefore, the least common multiple of 9226 and 9230 is 42577990.