Least Common Multiple of 3232 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 3232 and 3239 the smallest integer that is 10468448 that is divisible by both numbers.

Least Common Multiple (LCM) of 3232 and 3239 is 10468448.

LCM(3232,3239) = 10468448

LCM of 3232 and 3239

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

LCM of:
and

Least Common Multiple of 3232 and 3239

LCM of 3232 and 3239 is 10468448

Least common multiple can be found by multiplying the highest exponent prime factors of 3232 and 3239. First we will calculate the prime factors of 3232 and 3239.

Prime Factorization of 3232


2 3232
2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 3232 are 2,101. Prime factorization of 3232 in exponential form is:

3232 = 25×1011

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 3232 and 3239.

LCM(3232,3239) = 25×411×791×1011
LCM(3232,3239) = 10468448

Factors of 3232

List of positive integer factors of 3232 that divides 3232 without a remainder.

1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232

Factors of 3239

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

1, 41, 79, 3239

Least Common Multiple of 3232 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 3232 and 3239, than apply into the LCM equation.

GCF(3232,3239) = 1
LCM(3232,3239) = ( 3232 × 3239) / 1
LCM(3232,3239) = 10468448 / 1
LCM(3232,3239) = 10468448

Properties of LCM 3232 and 3239

(i) The LCM of 3239 and 3232 is associative

LCM of 3232 and 3239 = LCM of 3239 and 3232

Related Least Common Multiples of 3232

Related Least Common Multiples of 3239

Frequently Asked Questions on LCM of 3232 and 3239

1. What is the LCM of 3232 and 3239?

Answer: LCM of 3232 and 3239 is 10468448.

2. What are the Factors of 3232?

Answer: Factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232. There are 12 integers that are factors of 3232. The greatest factor of 3232 is 3232.

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 3232 and 3239?

Answer:

Least Common Multiple of 3232 and 3239 = 10468448

Step 1: Find the prime factorization of 3232

3232 = 2 x 2 x 2 x 2 x 2 x 101

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 = 10468448 = 2 x 2 x 2 x 2 x 2 x 41 x 79 x 101

Step 4: Therefore, the least common multiple of 3232 and 3239 is 10468448.