Least Common Multiple of 4232 and 4239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4232 and 4239 the smallest integer that is 17939448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4232 and 4239 is 17939448.

LCM(4232,4239) = 17939448

LCM of 4232 and 4239

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

LCM of:
and

Least Common Multiple of 4232 and 4239

LCM of 4232 and 4239 is 17939448

Least common multiple can be found by multiplying the highest exponent prime factors of 4232 and 4239. First we will calculate the prime factors of 4232 and 4239.

Prime Factorization of 4232


2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 4232 are 2,23. Prime factorization of 4232 in exponential form is:

4232 = 23×232

Prime Factorization of 4239


3 4239
3 1413
3 471
157 157
1

Prime factors of 4239 are 3,157. Prime factorization of 4239 in exponential form is:

4239 = 33×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4232 and 4239.

LCM(4232,4239) = 23×33×232×1571
LCM(4232,4239) = 17939448

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232

Factors of 4239

List of positive integer factors of 4239 that divides 4239 without a remainder.

1, 3, 9, 27, 157, 471, 1413, 4239

Least Common Multiple of 4232 and 4239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4232 and 4239, than apply into the LCM equation.

GCF(4232,4239) = 1
LCM(4232,4239) = ( 4232 × 4239) / 1
LCM(4232,4239) = 17939448 / 1
LCM(4232,4239) = 17939448

Properties of LCM 4232 and 4239

(i) The LCM of 4239 and 4232 is associative

LCM of 4232 and 4239 = LCM of 4239 and 4232

Related Least Common Multiples of 4232

Related Least Common Multiples of 4239

Frequently Asked Questions on LCM of 4232 and 4239

1. What is the LCM of 4232 and 4239?

Answer: LCM of 4232 and 4239 is 17939448.

2. What are the Factors of 4232?

Answer: Factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232. There are 12 integers that are factors of 4232. The greatest factor of 4232 is 4232.

3. What are the Factors of 4239?

Answer: Factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239. There are 8 integers that are factors of 4239. The greatest factor of 4239 is 4239.

4. How to Find the LCM of 4232 and 4239?

Answer:

Least Common Multiple of 4232 and 4239 = 17939448

Step 1: Find the prime factorization of 4232

4232 = 2 x 2 x 2 x 23 x 23

Step 2: Find the prime factorization of 4239

4239 = 3 x 3 x 3 x 157

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

LCM = 17939448 = 2 x 2 x 2 x 3 x 3 x 3 x 23 x 23 x 157

Step 4: Therefore, the least common multiple of 4232 and 4239 is 17939448.