Least Common Multiple of 3238 and 3242

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 3242 the smallest integer that is 5248798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3238 and 3242 is 5248798.

LCM(3238,3242) = 5248798

LCM of 3238 and 3242

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

LCM of:
and

Least Common Multiple of 3238 and 3242

LCM of 3238 and 3242 is 5248798

Least common multiple can be found by multiplying the highest exponent prime factors of 3238 and 3242. First we will calculate the prime factors of 3238 and 3242.

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 3242


2 3242
1621 1621
1

Prime factors of 3242 are 2,1621. Prime factorization of 3242 in exponential form is:

3242 = 21×16211

Now multiplying the highest exponent prime factors to calculate the LCM of 3238 and 3242.

LCM(3238,3242) = 21×16191×16211
LCM(3238,3242) = 5248798

Factors of 3238

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

1, 2, 1619, 3238

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1, 2, 1621, 3242

Least Common Multiple of 3238 and 3242 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 3242, than apply into the LCM equation.

GCF(3238,3242) = 2
LCM(3238,3242) = ( 3238 × 3242) / 2
LCM(3238,3242) = 10497596 / 2
LCM(3238,3242) = 5248798

Properties of LCM 3238 and 3242

(i) The LCM of 3242 and 3238 is associative

LCM of 3238 and 3242 = LCM of 3242 and 3238

Related Least Common Multiples of 3238

Related Least Common Multiples of 3242

Frequently Asked Questions on LCM of 3238 and 3242

1. What is the LCM of 3238 and 3242?

Answer: LCM of 3238 and 3242 is 5248798.

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 3242?

Answer: Factors of 3242 are 1, 2, 1621, 3242. There are 4 integers that are factors of 3242. The greatest factor of 3242 is 3242.

4. How to Find the LCM of 3238 and 3242?

Answer:

Least Common Multiple of 3238 and 3242 = 5248798

Step 1: Find the prime factorization of 3238

3238 = 2 x 1619

Step 2: Find the prime factorization of 3242

3242 = 2 x 1621

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

LCM = 5248798 = 2 x 1619 x 1621

Step 4: Therefore, the least common multiple of 3238 and 3242 is 5248798.