Least Common Multiple of 39231 and 39239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39231 and 39239 the smallest integer that is 1539385209 that is divisible by both numbers.

Least Common Multiple (LCM) of 39231 and 39239 is 1539385209.

LCM(39231,39239) = 1539385209

LCM of 39231 and 39239

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

LCM of:
and

Least Common Multiple of 39231 and 39239

LCM of 39231 and 39239 is 1539385209

Least common multiple can be found by multiplying the highest exponent prime factors of 39231 and 39239. First we will calculate the prime factors of 39231 and 39239.

Prime Factorization of 39231


3 39231
3 13077
3 4359
1453 1453
1

Prime factors of 39231 are 3,1453. Prime factorization of 39231 in exponential form is:

39231 = 33×14531

Prime Factorization of 39239


39239 39239
1

Prime factors of 39239 are 39239. Prime factorization of 39239 in exponential form is:

39239 = 392391

Now multiplying the highest exponent prime factors to calculate the LCM of 39231 and 39239.

LCM(39231,39239) = 33×14531×392391
LCM(39231,39239) = 1539385209

Factors of 39231

List of positive integer factors of 39231 that divides 39231 without a remainder.

1, 3, 9, 27, 1453, 4359, 13077, 39231

Factors of 39239

List of positive integer factors of 39239 that divides 39239 without a remainder.

1, 39239

Least Common Multiple of 39231 and 39239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39231 and 39239, than apply into the LCM equation.

GCF(39231,39239) = 1
LCM(39231,39239) = ( 39231 × 39239) / 1
LCM(39231,39239) = 1539385209 / 1
LCM(39231,39239) = 1539385209

Properties of LCM 39231 and 39239

(i) The LCM of 39239 and 39231 is associative

LCM of 39231 and 39239 = LCM of 39239 and 39231

Related Least Common Multiples of 39231

Related Least Common Multiples of 39239

Frequently Asked Questions on LCM of 39231 and 39239

1. What is the LCM of 39231 and 39239?

Answer: LCM of 39231 and 39239 is 1539385209.

2. What are the Factors of 39231?

Answer: Factors of 39231 are 1, 3, 9, 27, 1453, 4359, 13077, 39231. There are 8 integers that are factors of 39231. The greatest factor of 39231 is 39231.

3. What are the Factors of 39239?

Answer: Factors of 39239 are 1, 39239. There are 2 integers that are factors of 39239. The greatest factor of 39239 is 39239.

4. How to Find the LCM of 39231 and 39239?

Answer:

Least Common Multiple of 39231 and 39239 = 1539385209

Step 1: Find the prime factorization of 39231

39231 = 3 x 3 x 3 x 1453

Step 2: Find the prime factorization of 39239

39239 = 39239

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

LCM = 1539385209 = 3 x 3 x 3 x 1453 x 39239

Step 4: Therefore, the least common multiple of 39231 and 39239 is 1539385209.