Least Common Multiple of 3226 and 3231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3226 and 3231 the smallest integer that is 10423206 that is divisible by both numbers.

Least Common Multiple (LCM) of 3226 and 3231 is 10423206.

LCM(3226,3231) = 10423206

LCM of 3226 and 3231

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

LCM of:
and

Least Common Multiple of 3226 and 3231

LCM of 3226 and 3231 is 10423206

Least common multiple can be found by multiplying the highest exponent prime factors of 3226 and 3231. First we will calculate the prime factors of 3226 and 3231.

Prime Factorization of 3226


2 3226
1613 1613
1

Prime factors of 3226 are 2,1613. Prime factorization of 3226 in exponential form is:

3226 = 21×16131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3226 and 3231.

LCM(3226,3231) = 21×32×3591×16131
LCM(3226,3231) = 10423206

Factors of 3226

List of positive integer factors of 3226 that divides 3226 without a remainder.

1, 2, 1613, 3226

Factors of 3231

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

1, 3, 9, 359, 1077, 3231

Least Common Multiple of 3226 and 3231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3226 and 3231, than apply into the LCM equation.

GCF(3226,3231) = 1
LCM(3226,3231) = ( 3226 × 3231) / 1
LCM(3226,3231) = 10423206 / 1
LCM(3226,3231) = 10423206

Properties of LCM 3226 and 3231

(i) The LCM of 3231 and 3226 is associative

LCM of 3226 and 3231 = LCM of 3231 and 3226

Related Least Common Multiples of 3226

Related Least Common Multiples of 3231

Frequently Asked Questions on LCM of 3226 and 3231

1. What is the LCM of 3226 and 3231?

Answer: LCM of 3226 and 3231 is 10423206.

2. What are the Factors of 3226?

Answer: Factors of 3226 are 1, 2, 1613, 3226. There are 4 integers that are factors of 3226. The greatest factor of 3226 is 3226.

3. 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.

4. How to Find the LCM of 3226 and 3231?

Answer:

Least Common Multiple of 3226 and 3231 = 10423206

Step 1: Find the prime factorization of 3226

3226 = 2 x 1613

Step 2: Find the prime factorization of 3231

3231 = 3 x 3 x 359

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

LCM = 10423206 = 2 x 3 x 3 x 359 x 1613

Step 4: Therefore, the least common multiple of 3226 and 3231 is 10423206.