Least Common Multiple of 9224 and 9228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9224 and 9228 the smallest integer that is 21279768 that is divisible by both numbers.

Least Common Multiple (LCM) of 9224 and 9228 is 21279768.

LCM(9224,9228) = 21279768

LCM of 9224 and 9228

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

LCM of:
and

Least Common Multiple of 9224 and 9228

LCM of 9224 and 9228 is 21279768

Least common multiple can be found by multiplying the highest exponent prime factors of 9224 and 9228. First we will calculate the prime factors of 9224 and 9228.

Prime Factorization of 9224


2 9224
2 4612
2 2306
1153 1153
1

Prime factors of 9224 are 2,1153. Prime factorization of 9224 in exponential form is:

9224 = 23×11531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9224 and 9228.

LCM(9224,9228) = 23×31×7691×11531
LCM(9224,9228) = 21279768

Factors of 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1, 2, 4, 8, 1153, 2306, 4612, 9224

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

Least Common Multiple of 9224 and 9228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9224 and 9228, than apply into the LCM equation.

GCF(9224,9228) = 4
LCM(9224,9228) = ( 9224 × 9228) / 4
LCM(9224,9228) = 85119072 / 4
LCM(9224,9228) = 21279768

Properties of LCM 9224 and 9228

(i) The LCM of 9228 and 9224 is associative

LCM of 9224 and 9228 = LCM of 9228 and 9224

Related Least Common Multiples of 9224

Related Least Common Multiples of 9228

Frequently Asked Questions on LCM of 9224 and 9228

1. What is the LCM of 9224 and 9228?

Answer: LCM of 9224 and 9228 is 21279768.

2. What are the Factors of 9224?

Answer: Factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224. There are 8 integers that are factors of 9224. The greatest factor of 9224 is 9224.

3. 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.

4. How to Find the LCM of 9224 and 9228?

Answer:

Least Common Multiple of 9224 and 9228 = 21279768

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

Step 2: Find the prime factorization of 9228

9228 = 2 x 2 x 3 x 769

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

LCM = 21279768 = 2 x 2 x 2 x 3 x 769 x 1153

Step 4: Therefore, the least common multiple of 9224 and 9228 is 21279768.