Least Common Multiple of 9229 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 9229 and 9234 the smallest integer that is 85220586 that is divisible by both numbers.

Least Common Multiple (LCM) of 9229 and 9234 is 85220586.

LCM(9229,9234) = 85220586

LCM of 9229 and 9234

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

LCM of:
and

Least Common Multiple of 9229 and 9234

LCM of 9229 and 9234 is 85220586

Least common multiple can be found by multiplying the highest exponent prime factors of 9229 and 9234. First we will calculate the prime factors of 9229 and 9234.

Prime Factorization of 9229


11 9229
839 839
1

Prime factors of 9229 are 11,839. Prime factorization of 9229 in exponential form is:

9229 = 111×8391

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 9229 and 9234.

LCM(9229,9234) = 21×35×111×191×8391
LCM(9229,9234) = 85220586

Factors of 9229

List of positive integer factors of 9229 that divides 9229 without a remainder.

1, 11, 839, 9229

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 9229 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 9229 and 9234, than apply into the LCM equation.

GCF(9229,9234) = 1
LCM(9229,9234) = ( 9229 × 9234) / 1
LCM(9229,9234) = 85220586 / 1
LCM(9229,9234) = 85220586

Properties of LCM 9229 and 9234

(i) The LCM of 9234 and 9229 is associative

LCM of 9229 and 9234 = LCM of 9234 and 9229

Related Least Common Multiples of 9229

Related Least Common Multiples of 9234

Frequently Asked Questions on LCM of 9229 and 9234

1. What is the LCM of 9229 and 9234?

Answer: LCM of 9229 and 9234 is 85220586.

2. What are the Factors of 9229?

Answer: Factors of 9229 are 1, 11, 839, 9229. There are 4 integers that are factors of 9229. The greatest factor of 9229 is 9229.

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 9229 and 9234?

Answer:

Least Common Multiple of 9229 and 9234 = 85220586

Step 1: Find the prime factorization of 9229

9229 = 11 x 839

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 = 85220586 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 19 x 839

Step 4: Therefore, the least common multiple of 9229 and 9234 is 85220586.