Least Common Multiple of 9223 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 9223 and 9228 the smallest integer that is 85109844 that is divisible by both numbers.

Least Common Multiple (LCM) of 9223 and 9228 is 85109844.

LCM(9223,9228) = 85109844

LCM of 9223 and 9228

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

LCM of:
and

Least Common Multiple of 9223 and 9228

LCM of 9223 and 9228 is 85109844

Least common multiple can be found by multiplying the highest exponent prime factors of 9223 and 9228. First we will calculate the prime factors of 9223 and 9228.

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 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 9223 and 9228.

LCM(9223,9228) = 22×31×231×4011×7691
LCM(9223,9228) = 85109844

Factors of 9223

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

1, 23, 401, 9223

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 9223 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 9223 and 9228, than apply into the LCM equation.

GCF(9223,9228) = 1
LCM(9223,9228) = ( 9223 × 9228) / 1
LCM(9223,9228) = 85109844 / 1
LCM(9223,9228) = 85109844

Properties of LCM 9223 and 9228

(i) The LCM of 9228 and 9223 is associative

LCM of 9223 and 9228 = LCM of 9228 and 9223

Related Least Common Multiples of 9223

Related Least Common Multiples of 9228

Frequently Asked Questions on LCM of 9223 and 9228

1. What is the LCM of 9223 and 9228?

Answer: LCM of 9223 and 9228 is 85109844.

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 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 9223 and 9228?

Answer:

Least Common Multiple of 9223 and 9228 = 85109844

Step 1: Find the prime factorization of 9223

9223 = 23 x 401

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 = 85109844 = 2 x 2 x 3 x 23 x 401 x 769

Step 4: Therefore, the least common multiple of 9223 and 9228 is 85109844.