Least Common Multiple of 9239 and 9244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9239 and 9244 the smallest integer that is 85405316 that is divisible by both numbers.

Least Common Multiple (LCM) of 9239 and 9244 is 85405316.

LCM(9239,9244) = 85405316

LCM of 9239 and 9244

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

LCM of:
and

Least Common Multiple of 9239 and 9244

LCM of 9239 and 9244 is 85405316

Least common multiple can be found by multiplying the highest exponent prime factors of 9239 and 9244. First we will calculate the prime factors of 9239 and 9244.

Prime Factorization of 9239


9239 9239
1

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

9239 = 92391

Prime Factorization of 9244


2 9244
2 4622
2311 2311
1

Prime factors of 9244 are 2,2311. Prime factorization of 9244 in exponential form is:

9244 = 22×23111

Now multiplying the highest exponent prime factors to calculate the LCM of 9239 and 9244.

LCM(9239,9244) = 22×23111×92391
LCM(9239,9244) = 85405316

Factors of 9239

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

1, 9239

Factors of 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1, 2, 4, 2311, 4622, 9244

Least Common Multiple of 9239 and 9244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9239 and 9244, than apply into the LCM equation.

GCF(9239,9244) = 1
LCM(9239,9244) = ( 9239 × 9244) / 1
LCM(9239,9244) = 85405316 / 1
LCM(9239,9244) = 85405316

Properties of LCM 9239 and 9244

(i) The LCM of 9244 and 9239 is associative

LCM of 9239 and 9244 = LCM of 9244 and 9239

Related Least Common Multiples of 9239

Related Least Common Multiples of 9244

Frequently Asked Questions on LCM of 9239 and 9244

1. What is the LCM of 9239 and 9244?

Answer: LCM of 9239 and 9244 is 85405316.

2. 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.

3. What are the Factors of 9244?

Answer: Factors of 9244 are 1, 2, 4, 2311, 4622, 9244. There are 6 integers that are factors of 9244. The greatest factor of 9244 is 9244.

4. How to Find the LCM of 9239 and 9244?

Answer:

Least Common Multiple of 9239 and 9244 = 85405316

Step 1: Find the prime factorization of 9239

9239 = 9239

Step 2: Find the prime factorization of 9244

9244 = 2 x 2 x 2311

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

LCM = 85405316 = 2 x 2 x 2311 x 9239

Step 4: Therefore, the least common multiple of 9239 and 9244 is 85405316.