Least Common Multiple of 3239 and 3244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3239 and 3244 the smallest integer that is 10507316 that is divisible by both numbers.

Least Common Multiple (LCM) of 3239 and 3244 is 10507316.

LCM(3239,3244) = 10507316

LCM of 3239 and 3244

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

LCM of:
and

Least Common Multiple of 3239 and 3244

LCM of 3239 and 3244 is 10507316

Least common multiple can be found by multiplying the highest exponent prime factors of 3239 and 3244. First we will calculate the prime factors of 3239 and 3244.

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

Prime Factorization of 3244


2 3244
2 1622
811 811
1

Prime factors of 3244 are 2,811. Prime factorization of 3244 in exponential form is:

3244 = 22×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 3239 and 3244.

LCM(3239,3244) = 22×411×791×8111
LCM(3239,3244) = 10507316

Factors of 3239

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

1, 41, 79, 3239

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1, 2, 4, 811, 1622, 3244

Least Common Multiple of 3239 and 3244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3239 and 3244, than apply into the LCM equation.

GCF(3239,3244) = 1
LCM(3239,3244) = ( 3239 × 3244) / 1
LCM(3239,3244) = 10507316 / 1
LCM(3239,3244) = 10507316

Properties of LCM 3239 and 3244

(i) The LCM of 3244 and 3239 is associative

LCM of 3239 and 3244 = LCM of 3244 and 3239

Related Least Common Multiples of 3239

Related Least Common Multiples of 3244

Frequently Asked Questions on LCM of 3239 and 3244

1. What is the LCM of 3239 and 3244?

Answer: LCM of 3239 and 3244 is 10507316.

2. 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.

3. What are the Factors of 3244?

Answer: Factors of 3244 are 1, 2, 4, 811, 1622, 3244. There are 6 integers that are factors of 3244. The greatest factor of 3244 is 3244.

4. How to Find the LCM of 3239 and 3244?

Answer:

Least Common Multiple of 3239 and 3244 = 10507316

Step 1: Find the prime factorization of 3239

3239 = 41 x 79

Step 2: Find the prime factorization of 3244

3244 = 2 x 2 x 811

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

LCM = 10507316 = 2 x 2 x 41 x 79 x 811

Step 4: Therefore, the least common multiple of 3239 and 3244 is 10507316.