Least Common Multiple of 4231 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 4231 and 4239 the smallest integer that is 17935209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4231 and 4239 is 17935209.

LCM(4231,4239) = 17935209

LCM of 4231 and 4239

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

LCM of:
and

Least Common Multiple of 4231 and 4239

LCM of 4231 and 4239 is 17935209

Least common multiple can be found by multiplying the highest exponent prime factors of 4231 and 4239. First we will calculate the prime factors of 4231 and 4239.

Prime Factorization of 4231


4231 4231
1

Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:

4231 = 42311

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 4231 and 4239.

LCM(4231,4239) = 33×1571×42311
LCM(4231,4239) = 17935209

Factors of 4231

List of positive integer factors of 4231 that divides 4231 without a remainder.

1, 4231

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 4231 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 4231 and 4239, than apply into the LCM equation.

GCF(4231,4239) = 1
LCM(4231,4239) = ( 4231 × 4239) / 1
LCM(4231,4239) = 17935209 / 1
LCM(4231,4239) = 17935209

Properties of LCM 4231 and 4239

(i) The LCM of 4239 and 4231 is associative

LCM of 4231 and 4239 = LCM of 4239 and 4231

Related Least Common Multiples of 4231

Related Least Common Multiples of 4239

Frequently Asked Questions on LCM of 4231 and 4239

1. What is the LCM of 4231 and 4239?

Answer: LCM of 4231 and 4239 is 17935209.

2. What are the Factors of 4231?

Answer: Factors of 4231 are 1, 4231. There are 2 integers that are factors of 4231. The greatest factor of 4231 is 4231.

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 4231 and 4239?

Answer:

Least Common Multiple of 4231 and 4239 = 17935209

Step 1: Find the prime factorization of 4231

4231 = 4231

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 = 17935209 = 3 x 3 x 3 x 157 x 4231

Step 4: Therefore, the least common multiple of 4231 and 4239 is 17935209.