Least Common Multiple of 9224 and 9232

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 9232 the smallest integer that is 10644496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9224 and 9232 is 10644496.

LCM(9224,9232) = 10644496

LCM of 9224 and 9232

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

LCM of:
and

Least Common Multiple of 9224 and 9232

LCM of 9224 and 9232 is 10644496

Least common multiple can be found by multiplying the highest exponent prime factors of 9224 and 9232. First we will calculate the prime factors of 9224 and 9232.

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 9232


2 9232
2 4616
2 2308
2 1154
577 577
1

Prime factors of 9232 are 2,577. Prime factorization of 9232 in exponential form is:

9232 = 24×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 9224 and 9232.

LCM(9224,9232) = 24×5771×11531
LCM(9224,9232) = 10644496

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 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232

Least Common Multiple of 9224 and 9232 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 9232, than apply into the LCM equation.

GCF(9224,9232) = 8
LCM(9224,9232) = ( 9224 × 9232) / 8
LCM(9224,9232) = 85155968 / 8
LCM(9224,9232) = 10644496

Properties of LCM 9224 and 9232

(i) The LCM of 9232 and 9224 is associative

LCM of 9224 and 9232 = LCM of 9232 and 9224

Related Least Common Multiples of 9224

Related Least Common Multiples of 9232

Frequently Asked Questions on LCM of 9224 and 9232

1. What is the LCM of 9224 and 9232?

Answer: LCM of 9224 and 9232 is 10644496.

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 9232?

Answer: Factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232. There are 10 integers that are factors of 9232. The greatest factor of 9232 is 9232.

4. How to Find the LCM of 9224 and 9232?

Answer:

Least Common Multiple of 9224 and 9232 = 10644496

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

Step 2: Find the prime factorization of 9232

9232 = 2 x 2 x 2 x 2 x 577

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

LCM = 10644496 = 2 x 2 x 2 x 2 x 577 x 1153

Step 4: Therefore, the least common multiple of 9224 and 9232 is 10644496.