Least Common Multiple of 9226 and 9234

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 9234 the smallest integer that is 42596442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9226 and 9234 is 42596442.

LCM(9226,9234) = 42596442

LCM of 9226 and 9234

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

LCM of:
and

Least Common Multiple of 9226 and 9234

LCM of 9226 and 9234 is 42596442

Least common multiple can be found by multiplying the highest exponent prime factors of 9226 and 9234. First we will calculate the prime factors of 9226 and 9234.

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 9234


2 9234
3 4617
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 9234 are 2, 3,19. Prime factorization of 9234 in exponential form is:

9234 = 21×35×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9226 and 9234.

LCM(9226,9234) = 21×35×71×191×6591
LCM(9226,9234) = 42596442

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 9234

List of positive integer factors of 9234 that divides 9234 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234

Least Common Multiple of 9226 and 9234 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 9234, than apply into the LCM equation.

GCF(9226,9234) = 2
LCM(9226,9234) = ( 9226 × 9234) / 2
LCM(9226,9234) = 85192884 / 2
LCM(9226,9234) = 42596442

Properties of LCM 9226 and 9234

(i) The LCM of 9234 and 9226 is associative

LCM of 9226 and 9234 = LCM of 9234 and 9226

Related Least Common Multiples of 9226

Related Least Common Multiples of 9234

Frequently Asked Questions on LCM of 9226 and 9234

1. What is the LCM of 9226 and 9234?

Answer: LCM of 9226 and 9234 is 42596442.

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 9234?

Answer: Factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234. There are 24 integers that are factors of 9234. The greatest factor of 9234 is 9234.

4. How to Find the LCM of 9226 and 9234?

Answer:

Least Common Multiple of 9226 and 9234 = 42596442

Step 1: Find the prime factorization of 9226

9226 = 2 x 7 x 659

Step 2: Find the prime factorization of 9234

9234 = 2 x 3 x 3 x 3 x 3 x 3 x 19

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

LCM = 42596442 = 2 x 3 x 3 x 3 x 3 x 3 x 7 x 19 x 659

Step 4: Therefore, the least common multiple of 9226 and 9234 is 42596442.