Least Common Multiple of 9224 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 9224 and 9229 the smallest integer that is 85128296 that is divisible by both numbers.

Least Common Multiple (LCM) of 9224 and 9229 is 85128296.

LCM(9224,9229) = 85128296

LCM of 9224 and 9229

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

LCM of:
and

Least Common Multiple of 9224 and 9229

LCM of 9224 and 9229 is 85128296

Least common multiple can be found by multiplying the highest exponent prime factors of 9224 and 9229. First we will calculate the prime factors of 9224 and 9229.

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 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 9224 and 9229.

LCM(9224,9229) = 23×111×8391×11531
LCM(9224,9229) = 85128296

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 9229

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

1, 11, 839, 9229

Least Common Multiple of 9224 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 9224 and 9229, than apply into the LCM equation.

GCF(9224,9229) = 1
LCM(9224,9229) = ( 9224 × 9229) / 1
LCM(9224,9229) = 85128296 / 1
LCM(9224,9229) = 85128296

Properties of LCM 9224 and 9229

(i) The LCM of 9229 and 9224 is associative

LCM of 9224 and 9229 = LCM of 9229 and 9224

Related Least Common Multiples of 9224

Related Least Common Multiples of 9229

Frequently Asked Questions on LCM of 9224 and 9229

1. What is the LCM of 9224 and 9229?

Answer: LCM of 9224 and 9229 is 85128296.

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 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 9224 and 9229?

Answer:

Least Common Multiple of 9224 and 9229 = 85128296

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

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 = 85128296 = 2 x 2 x 2 x 11 x 839 x 1153

Step 4: Therefore, the least common multiple of 9224 and 9229 is 85128296.