Least Common Multiple of 3231 and 3239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3231 and 3239 the smallest integer that is 10465209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3231 and 3239 is 10465209.

LCM(3231,3239) = 10465209

LCM of 3231 and 3239

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

LCM of:
and

Least Common Multiple of 3231 and 3239

LCM of 3231 and 3239 is 10465209

Least common multiple can be found by multiplying the highest exponent prime factors of 3231 and 3239. First we will calculate the prime factors of 3231 and 3239.

Prime Factorization of 3231


3 3231
3 1077
359 359
1

Prime factors of 3231 are 3,359. Prime factorization of 3231 in exponential form is:

3231 = 32×3591

Prime Factorization of 3239


41 3239
79 79
1

Prime factors of 3239 are 41,79. Prime factorization of 3239 in exponential form is:

3239 = 411×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3231 and 3239.

LCM(3231,3239) = 32×411×791×3591
LCM(3231,3239) = 10465209

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1, 3, 9, 359, 1077, 3231

Factors of 3239

List of positive integer factors of 3239 that divides 3239 without a remainder.

1, 41, 79, 3239

Least Common Multiple of 3231 and 3239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3231 and 3239, than apply into the LCM equation.

GCF(3231,3239) = 1
LCM(3231,3239) = ( 3231 × 3239) / 1
LCM(3231,3239) = 10465209 / 1
LCM(3231,3239) = 10465209

Properties of LCM 3231 and 3239

(i) The LCM of 3239 and 3231 is associative

LCM of 3231 and 3239 = LCM of 3239 and 3231

Related Least Common Multiples of 3231

Related Least Common Multiples of 3239

Frequently Asked Questions on LCM of 3231 and 3239

1. What is the LCM of 3231 and 3239?

Answer: LCM of 3231 and 3239 is 10465209.

2. What are the Factors of 3231?

Answer: Factors of 3231 are 1, 3, 9, 359, 1077, 3231. There are 6 integers that are factors of 3231. The greatest factor of 3231 is 3231.

3. What are the Factors of 3239?

Answer: Factors of 3239 are 1, 41, 79, 3239. There are 4 integers that are factors of 3239. The greatest factor of 3239 is 3239.

4. How to Find the LCM of 3231 and 3239?

Answer:

Least Common Multiple of 3231 and 3239 = 10465209

Step 1: Find the prime factorization of 3231

3231 = 3 x 3 x 359

Step 2: Find the prime factorization of 3239

3239 = 41 x 79

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

LCM = 10465209 = 3 x 3 x 41 x 79 x 359

Step 4: Therefore, the least common multiple of 3231 and 3239 is 10465209.