Least Common Multiple of 9230 and 9233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9230 and 9233 the smallest integer that is 85220590 that is divisible by both numbers.

Least Common Multiple (LCM) of 9230 and 9233 is 85220590.

LCM(9230,9233) = 85220590

LCM of 9230 and 9233

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

LCM of:
and

Least Common Multiple of 9230 and 9233

LCM of 9230 and 9233 is 85220590

Least common multiple can be found by multiplying the highest exponent prime factors of 9230 and 9233. First we will calculate the prime factors of 9230 and 9233.

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

Prime Factorization of 9233


7 9233
1319 1319
1

Prime factors of 9233 are 7,1319. Prime factorization of 9233 in exponential form is:

9233 = 71×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 9230 and 9233.

LCM(9230,9233) = 21×51×71×131×711×13191
LCM(9230,9233) = 85220590

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

Factors of 9233

List of positive integer factors of 9233 that divides 9233 without a remainder.

1, 7, 1319, 9233

Least Common Multiple of 9230 and 9233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9230 and 9233, than apply into the LCM equation.

GCF(9230,9233) = 1
LCM(9230,9233) = ( 9230 × 9233) / 1
LCM(9230,9233) = 85220590 / 1
LCM(9230,9233) = 85220590

Properties of LCM 9230 and 9233

(i) The LCM of 9233 and 9230 is associative

LCM of 9230 and 9233 = LCM of 9233 and 9230

Related Least Common Multiples of 9230

Related Least Common Multiples of 9233

Frequently Asked Questions on LCM of 9230 and 9233

1. What is the LCM of 9230 and 9233?

Answer: LCM of 9230 and 9233 is 85220590.

2. 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.

3. What are the Factors of 9233?

Answer: Factors of 9233 are 1, 7, 1319, 9233. There are 4 integers that are factors of 9233. The greatest factor of 9233 is 9233.

4. How to Find the LCM of 9230 and 9233?

Answer:

Least Common Multiple of 9230 and 9233 = 85220590

Step 1: Find the prime factorization of 9230

9230 = 2 x 5 x 13 x 71

Step 2: Find the prime factorization of 9233

9233 = 7 x 1319

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

LCM = 85220590 = 2 x 5 x 7 x 13 x 71 x 1319

Step 4: Therefore, the least common multiple of 9230 and 9233 is 85220590.