Least Common Multiple of 3223 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 3223 and 3231 the smallest integer that is 10413513 that is divisible by both numbers.

Least Common Multiple (LCM) of 3223 and 3231 is 10413513.

LCM(3223,3231) = 10413513

LCM of 3223 and 3231

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

LCM of:
and

Least Common Multiple of 3223 and 3231

LCM of 3223 and 3231 is 10413513

Least common multiple can be found by multiplying the highest exponent prime factors of 3223 and 3231. First we will calculate the prime factors of 3223 and 3231.

Prime Factorization of 3223


11 3223
293 293
1

Prime factors of 3223 are 11,293. Prime factorization of 3223 in exponential form is:

3223 = 111×2931

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 3223 and 3231.

LCM(3223,3231) = 32×111×2931×3591
LCM(3223,3231) = 10413513

Factors of 3223

List of positive integer factors of 3223 that divides 3223 without a remainder.

1, 11, 293, 3223

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 3223 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 3223 and 3231, than apply into the LCM equation.

GCF(3223,3231) = 1
LCM(3223,3231) = ( 3223 × 3231) / 1
LCM(3223,3231) = 10413513 / 1
LCM(3223,3231) = 10413513

Properties of LCM 3223 and 3231

(i) The LCM of 3231 and 3223 is associative

LCM of 3223 and 3231 = LCM of 3231 and 3223

Related Least Common Multiples of 3223

Related Least Common Multiples of 3231

Frequently Asked Questions on LCM of 3223 and 3231

1. What is the LCM of 3223 and 3231?

Answer: LCM of 3223 and 3231 is 10413513.

2. What are the Factors of 3223?

Answer: Factors of 3223 are 1, 11, 293, 3223. There are 4 integers that are factors of 3223. The greatest factor of 3223 is 3223.

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 3223 and 3231?

Answer:

Least Common Multiple of 3223 and 3231 = 10413513

Step 1: Find the prime factorization of 3223

3223 = 11 x 293

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 = 10413513 = 3 x 3 x 11 x 293 x 359

Step 4: Therefore, the least common multiple of 3223 and 3231 is 10413513.