Least Common Multiple of 9226 and 9231

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 9231 the smallest integer that is 85165206 that is divisible by both numbers.

Least Common Multiple (LCM) of 9226 and 9231 is 85165206.

LCM(9226,9231) = 85165206

LCM of 9226 and 9231

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

LCM of:
and

Least Common Multiple of 9226 and 9231

LCM of 9226 and 9231 is 85165206

Least common multiple can be found by multiplying the highest exponent prime factors of 9226 and 9231. First we will calculate the prime factors of 9226 and 9231.

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 9231


3 9231
17 3077
181 181
1

Prime factors of 9231 are 3, 17,181. Prime factorization of 9231 in exponential form is:

9231 = 31×171×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9226 and 9231.

LCM(9226,9231) = 21×31×71×171×1811×6591
LCM(9226,9231) = 85165206

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 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1, 3, 17, 51, 181, 543, 3077, 9231

Least Common Multiple of 9226 and 9231 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 9231, than apply into the LCM equation.

GCF(9226,9231) = 1
LCM(9226,9231) = ( 9226 × 9231) / 1
LCM(9226,9231) = 85165206 / 1
LCM(9226,9231) = 85165206

Properties of LCM 9226 and 9231

(i) The LCM of 9231 and 9226 is associative

LCM of 9226 and 9231 = LCM of 9231 and 9226

Related Least Common Multiples of 9226

Related Least Common Multiples of 9231

Frequently Asked Questions on LCM of 9226 and 9231

1. What is the LCM of 9226 and 9231?

Answer: LCM of 9226 and 9231 is 85165206.

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 9231?

Answer: Factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231. There are 8 integers that are factors of 9231. The greatest factor of 9231 is 9231.

4. How to Find the LCM of 9226 and 9231?

Answer:

Least Common Multiple of 9226 and 9231 = 85165206

Step 1: Find the prime factorization of 9226

9226 = 2 x 7 x 659

Step 2: Find the prime factorization of 9231

9231 = 3 x 17 x 181

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

LCM = 85165206 = 2 x 3 x 7 x 17 x 181 x 659

Step 4: Therefore, the least common multiple of 9226 and 9231 is 85165206.