Least Common Multiple of 9223 and 9224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9223 and 9224 the smallest integer that is 85072952 that is divisible by both numbers.

Least Common Multiple (LCM) of 9223 and 9224 is 85072952.

LCM(9223,9224) = 85072952

LCM of 9223 and 9224

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

LCM of:
and

Least Common Multiple of 9223 and 9224

LCM of 9223 and 9224 is 85072952

Least common multiple can be found by multiplying the highest exponent prime factors of 9223 and 9224. First we will calculate the prime factors of 9223 and 9224.

Prime Factorization of 9223


23 9223
401 401
1

Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:

9223 = 231×4011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9223 and 9224.

LCM(9223,9224) = 23×231×4011×11531
LCM(9223,9224) = 85072952

Factors of 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1, 23, 401, 9223

Factors of 9224

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

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

Least Common Multiple of 9223 and 9224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9223 and 9224, than apply into the LCM equation.

GCF(9223,9224) = 1
LCM(9223,9224) = ( 9223 × 9224) / 1
LCM(9223,9224) = 85072952 / 1
LCM(9223,9224) = 85072952

Properties of LCM 9223 and 9224

(i) The LCM of 9224 and 9223 is associative

LCM of 9223 and 9224 = LCM of 9224 and 9223

Related Least Common Multiples of 9223

Related Least Common Multiples of 9224

Frequently Asked Questions on LCM of 9223 and 9224

1. What is the LCM of 9223 and 9224?

Answer: LCM of 9223 and 9224 is 85072952.

2. What are the Factors of 9223?

Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.

3. 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.

4. How to Find the LCM of 9223 and 9224?

Answer:

Least Common Multiple of 9223 and 9224 = 85072952

Step 1: Find the prime factorization of 9223

9223 = 23 x 401

Step 2: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

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

LCM = 85072952 = 2 x 2 x 2 x 23 x 401 x 1153

Step 4: Therefore, the least common multiple of 9223 and 9224 is 85072952.