Least Common Multiple of 9226 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 9226 and 9233 the smallest integer that is 12169094 that is divisible by both numbers.

Least Common Multiple (LCM) of 9226 and 9233 is 12169094.

LCM(9226,9233) = 12169094

LCM of 9226 and 9233

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

LCM of:
and

Least Common Multiple of 9226 and 9233

LCM of 9226 and 9233 is 12169094

Least common multiple can be found by multiplying the highest exponent prime factors of 9226 and 9233. First we will calculate the prime factors of 9226 and 9233.

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 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 9226 and 9233.

LCM(9226,9233) = 21×71×6591×13191
LCM(9226,9233) = 12169094

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 9233

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

1, 7, 1319, 9233

Least Common Multiple of 9226 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 9226 and 9233, than apply into the LCM equation.

GCF(9226,9233) = 7
LCM(9226,9233) = ( 9226 × 9233) / 7
LCM(9226,9233) = 85183658 / 7
LCM(9226,9233) = 12169094

Properties of LCM 9226 and 9233

(i) The LCM of 9233 and 9226 is associative

LCM of 9226 and 9233 = LCM of 9233 and 9226

Related Least Common Multiples of 9226

Related Least Common Multiples of 9233

Frequently Asked Questions on LCM of 9226 and 9233

1. What is the LCM of 9226 and 9233?

Answer: LCM of 9226 and 9233 is 12169094.

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 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 9226 and 9233?

Answer:

Least Common Multiple of 9226 and 9233 = 12169094

Step 1: Find the prime factorization of 9226

9226 = 2 x 7 x 659

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 = 12169094 = 2 x 7 x 659 x 1319

Step 4: Therefore, the least common multiple of 9226 and 9233 is 12169094.