Least Common Multiple of 3238 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 3238 and 3244 the smallest integer that is 5252036 that is divisible by both numbers.

Least Common Multiple (LCM) of 3238 and 3244 is 5252036.

LCM(3238,3244) = 5252036

LCM of 3238 and 3244

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

LCM of:
and

Least Common Multiple of 3238 and 3244

LCM of 3238 and 3244 is 5252036

Least common multiple can be found by multiplying the highest exponent prime factors of 3238 and 3244. First we will calculate the prime factors of 3238 and 3244.

Prime Factorization of 3238


2 3238
1619 1619
1

Prime factors of 3238 are 2,1619. Prime factorization of 3238 in exponential form is:

3238 = 21×16191

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 3238 and 3244.

LCM(3238,3244) = 22×8111×16191
LCM(3238,3244) = 5252036

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1, 2, 1619, 3238

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 3238 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 3238 and 3244, than apply into the LCM equation.

GCF(3238,3244) = 2
LCM(3238,3244) = ( 3238 × 3244) / 2
LCM(3238,3244) = 10504072 / 2
LCM(3238,3244) = 5252036

Properties of LCM 3238 and 3244

(i) The LCM of 3244 and 3238 is associative

LCM of 3238 and 3244 = LCM of 3244 and 3238

Related Least Common Multiples of 3238

Related Least Common Multiples of 3244

Frequently Asked Questions on LCM of 3238 and 3244

1. What is the LCM of 3238 and 3244?

Answer: LCM of 3238 and 3244 is 5252036.

2. What are the Factors of 3238?

Answer: Factors of 3238 are 1, 2, 1619, 3238. There are 4 integers that are factors of 3238. The greatest factor of 3238 is 3238.

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 3238 and 3244?

Answer:

Least Common Multiple of 3238 and 3244 = 5252036

Step 1: Find the prime factorization of 3238

3238 = 2 x 1619

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 = 5252036 = 2 x 2 x 811 x 1619

Step 4: Therefore, the least common multiple of 3238 and 3244 is 5252036.