Least Common Multiple of 9229 and 9235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9229 and 9235 the smallest integer that is 85229815 that is divisible by both numbers.

Least Common Multiple (LCM) of 9229 and 9235 is 85229815.

LCM(9229,9235) = 85229815

LCM of 9229 and 9235

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

LCM of:
and

Least Common Multiple of 9229 and 9235

LCM of 9229 and 9235 is 85229815

Least common multiple can be found by multiplying the highest exponent prime factors of 9229 and 9235. First we will calculate the prime factors of 9229 and 9235.

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

Prime Factorization of 9235


5 9235
1847 1847
1

Prime factors of 9235 are 5,1847. Prime factorization of 9235 in exponential form is:

9235 = 51×18471

Now multiplying the highest exponent prime factors to calculate the LCM of 9229 and 9235.

LCM(9229,9235) = 51×111×8391×18471
LCM(9229,9235) = 85229815

Factors of 9229

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

1, 11, 839, 9229

Factors of 9235

List of positive integer factors of 9235 that divides 9235 without a remainder.

1, 5, 1847, 9235

Least Common Multiple of 9229 and 9235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9229 and 9235, than apply into the LCM equation.

GCF(9229,9235) = 1
LCM(9229,9235) = ( 9229 × 9235) / 1
LCM(9229,9235) = 85229815 / 1
LCM(9229,9235) = 85229815

Properties of LCM 9229 and 9235

(i) The LCM of 9235 and 9229 is associative

LCM of 9229 and 9235 = LCM of 9235 and 9229

Related Least Common Multiples of 9229

Related Least Common Multiples of 9235

Frequently Asked Questions on LCM of 9229 and 9235

1. What is the LCM of 9229 and 9235?

Answer: LCM of 9229 and 9235 is 85229815.

2. 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.

3. What are the Factors of 9235?

Answer: Factors of 9235 are 1, 5, 1847, 9235. There are 4 integers that are factors of 9235. The greatest factor of 9235 is 9235.

4. How to Find the LCM of 9229 and 9235?

Answer:

Least Common Multiple of 9229 and 9235 = 85229815

Step 1: Find the prime factorization of 9229

9229 = 11 x 839

Step 2: Find the prime factorization of 9235

9235 = 5 x 1847

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

LCM = 85229815 = 5 x 11 x 839 x 1847

Step 4: Therefore, the least common multiple of 9229 and 9235 is 85229815.