Least Common Multiple of 9223 and 9229

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 9229 the smallest integer that is 85119067 that is divisible by both numbers.

Least Common Multiple (LCM) of 9223 and 9229 is 85119067.

LCM(9223,9229) = 85119067

LCM of 9223 and 9229

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

LCM of:
and

Least Common Multiple of 9223 and 9229

LCM of 9223 and 9229 is 85119067

Least common multiple can be found by multiplying the highest exponent prime factors of 9223 and 9229. First we will calculate the prime factors of 9223 and 9229.

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 9229


11 9229
839 839
1

Prime factors of 9229 are 11,839. Prime factorization of 9229 in exponential form is:

9229 = 111×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 9223 and 9229.

LCM(9223,9229) = 111×231×4011×8391
LCM(9223,9229) = 85119067

Factors of 9223

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

1, 23, 401, 9223

Factors of 9229

List of positive integer factors of 9229 that divides 9229 without a remainder.

1, 11, 839, 9229

Least Common Multiple of 9223 and 9229 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 9229, than apply into the LCM equation.

GCF(9223,9229) = 1
LCM(9223,9229) = ( 9223 × 9229) / 1
LCM(9223,9229) = 85119067 / 1
LCM(9223,9229) = 85119067

Properties of LCM 9223 and 9229

(i) The LCM of 9229 and 9223 is associative

LCM of 9223 and 9229 = LCM of 9229 and 9223

Frequently Asked Questions on LCM of 9223 and 9229

1. What is the LCM of 9223 and 9229?

Answer: LCM of 9223 and 9229 is 85119067.

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 9229?

Answer: Factors of 9229 are 1, 11, 839, 9229. There are 4 integers that are factors of 9229. The greatest factor of 9229 is 9229.

4. How to Find the LCM of 9223 and 9229?

Answer:

Least Common Multiple of 9223 and 9229 = 85119067

Step 1: Find the prime factorization of 9223

9223 = 23 x 401

Step 2: Find the prime factorization of 9229

9229 = 11 x 839

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

LCM = 85119067 = 11 x 23 x 401 x 839

Step 4: Therefore, the least common multiple of 9223 and 9229 is 85119067.