Least Common Multiple of 9232 and 9239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9232 and 9239 the smallest integer that is 85294448 that is divisible by both numbers.

Least Common Multiple (LCM) of 9232 and 9239 is 85294448.

LCM(9232,9239) = 85294448

LCM of 9232 and 9239

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

LCM of:
and

Least Common Multiple of 9232 and 9239

LCM of 9232 and 9239 is 85294448

Least common multiple can be found by multiplying the highest exponent prime factors of 9232 and 9239. First we will calculate the prime factors of 9232 and 9239.

Prime Factorization of 9232


2 9232
2 4616
2 2308
2 1154
577 577
1

Prime factors of 9232 are 2,577. Prime factorization of 9232 in exponential form is:

9232 = 24×5771

Prime Factorization of 9239


9239 9239
1

Prime factors of 9239 are 9239. Prime factorization of 9239 in exponential form is:

9239 = 92391

Now multiplying the highest exponent prime factors to calculate the LCM of 9232 and 9239.

LCM(9232,9239) = 24×5771×92391
LCM(9232,9239) = 85294448

Factors of 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232

Factors of 9239

List of positive integer factors of 9239 that divides 9239 without a remainder.

1, 9239

Least Common Multiple of 9232 and 9239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9232 and 9239, than apply into the LCM equation.

GCF(9232,9239) = 1
LCM(9232,9239) = ( 9232 × 9239) / 1
LCM(9232,9239) = 85294448 / 1
LCM(9232,9239) = 85294448

Properties of LCM 9232 and 9239

(i) The LCM of 9239 and 9232 is associative

LCM of 9232 and 9239 = LCM of 9239 and 9232

Related Least Common Multiples of 9232

Related Least Common Multiples of 9239

Frequently Asked Questions on LCM of 9232 and 9239

1. What is the LCM of 9232 and 9239?

Answer: LCM of 9232 and 9239 is 85294448.

2. What are the Factors of 9232?

Answer: Factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232. There are 10 integers that are factors of 9232. The greatest factor of 9232 is 9232.

3. What are the Factors of 9239?

Answer: Factors of 9239 are 1, 9239. There are 2 integers that are factors of 9239. The greatest factor of 9239 is 9239.

4. How to Find the LCM of 9232 and 9239?

Answer:

Least Common Multiple of 9232 and 9239 = 85294448

Step 1: Find the prime factorization of 9232

9232 = 2 x 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 9239

9239 = 9239

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

LCM = 85294448 = 2 x 2 x 2 x 2 x 577 x 9239

Step 4: Therefore, the least common multiple of 9232 and 9239 is 85294448.