Least Common Multiple of 3231 and 3238

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 3238 the smallest integer that is 10461978 that is divisible by both numbers.

Least Common Multiple (LCM) of 3231 and 3238 is 10461978.

LCM(3231,3238) = 10461978

LCM of 3231 and 3238

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

LCM of:
and

Least Common Multiple of 3231 and 3238

LCM of 3231 and 3238 is 10461978

Least common multiple can be found by multiplying the highest exponent prime factors of 3231 and 3238. First we will calculate the prime factors of 3231 and 3238.

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 3238


2 3238
1619 1619
1

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

3238 = 21×16191

Now multiplying the highest exponent prime factors to calculate the LCM of 3231 and 3238.

LCM(3231,3238) = 21×32×3591×16191
LCM(3231,3238) = 10461978

Factors of 3231

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

1, 3, 9, 359, 1077, 3231

Factors of 3238

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

1, 2, 1619, 3238

Least Common Multiple of 3231 and 3238 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 3238, than apply into the LCM equation.

GCF(3231,3238) = 1
LCM(3231,3238) = ( 3231 × 3238) / 1
LCM(3231,3238) = 10461978 / 1
LCM(3231,3238) = 10461978

Properties of LCM 3231 and 3238

(i) The LCM of 3238 and 3231 is associative

LCM of 3231 and 3238 = LCM of 3238 and 3231

Related Least Common Multiples of 3231

Related Least Common Multiples of 3238

Frequently Asked Questions on LCM of 3231 and 3238

1. What is the LCM of 3231 and 3238?

Answer: LCM of 3231 and 3238 is 10461978.

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 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.

4. How to Find the LCM of 3231 and 3238?

Answer:

Least Common Multiple of 3231 and 3238 = 10461978

Step 1: Find the prime factorization of 3231

3231 = 3 x 3 x 359

Step 2: Find the prime factorization of 3238

3238 = 2 x 1619

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

LCM = 10461978 = 2 x 3 x 3 x 359 x 1619

Step 4: Therefore, the least common multiple of 3231 and 3238 is 10461978.