Least Common Multiple of 9228 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 9228 and 9234 the smallest integer that is 14201892 that is divisible by both numbers.

Least Common Multiple (LCM) of 9228 and 9234 is 14201892.

LCM(9228,9234) = 14201892

LCM of 9228 and 9234

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

LCM of:
and

Least Common Multiple of 9228 and 9234

LCM of 9228 and 9234 is 14201892

Least common multiple can be found by multiplying the highest exponent prime factors of 9228 and 9234. First we will calculate the prime factors of 9228 and 9234.

Prime Factorization of 9228


2 9228
2 4614
3 2307
769 769
1

Prime factors of 9228 are 2, 3,769. Prime factorization of 9228 in exponential form is:

9228 = 22×31×7691

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 9228 and 9234.

LCM(9228,9234) = 22×35×191×7691
LCM(9228,9234) = 14201892

Factors of 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228

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 9228 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 9228 and 9234, than apply into the LCM equation.

GCF(9228,9234) = 6
LCM(9228,9234) = ( 9228 × 9234) / 6
LCM(9228,9234) = 85211352 / 6
LCM(9228,9234) = 14201892

Properties of LCM 9228 and 9234

(i) The LCM of 9234 and 9228 is associative

LCM of 9228 and 9234 = LCM of 9234 and 9228

Related Least Common Multiples of 9228

Related Least Common Multiples of 9234

Frequently Asked Questions on LCM of 9228 and 9234

1. What is the LCM of 9228 and 9234?

Answer: LCM of 9228 and 9234 is 14201892.

2. What are the Factors of 9228?

Answer: Factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228. There are 12 integers that are factors of 9228. The greatest factor of 9228 is 9228.

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 9228 and 9234?

Answer:

Least Common Multiple of 9228 and 9234 = 14201892

Step 1: Find the prime factorization of 9228

9228 = 2 x 2 x 3 x 769

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 = 14201892 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 19 x 769

Step 4: Therefore, the least common multiple of 9228 and 9234 is 14201892.