Least Common Multiple of 3213 and 3221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3213 and 3221 the smallest integer that is 10349073 that is divisible by both numbers.

Least Common Multiple (LCM) of 3213 and 3221 is 10349073.

LCM(3213,3221) = 10349073

LCM of 3213 and 3221

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

LCM of:
and

Least Common Multiple of 3213 and 3221

LCM of 3213 and 3221 is 10349073

Least common multiple can be found by multiplying the highest exponent prime factors of 3213 and 3221. First we will calculate the prime factors of 3213 and 3221.

Prime Factorization of 3213


3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 3213 are 3, 7,17. Prime factorization of 3213 in exponential form is:

3213 = 33×71×171

Prime Factorization of 3221


3221 3221
1

Prime factors of 3221 are 3221. Prime factorization of 3221 in exponential form is:

3221 = 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 3213 and 3221.

LCM(3213,3221) = 33×71×171×32211
LCM(3213,3221) = 10349073

Factors of 3213

List of positive integer factors of 3213 that divides 3213 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213

Factors of 3221

List of positive integer factors of 3221 that divides 3221 without a remainder.

1, 3221

Least Common Multiple of 3213 and 3221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3213 and 3221, than apply into the LCM equation.

GCF(3213,3221) = 1
LCM(3213,3221) = ( 3213 × 3221) / 1
LCM(3213,3221) = 10349073 / 1
LCM(3213,3221) = 10349073

Properties of LCM 3213 and 3221

(i) The LCM of 3221 and 3213 is associative

LCM of 3213 and 3221 = LCM of 3221 and 3213

Related Least Common Multiples of 3213

Related Least Common Multiples of 3221

Frequently Asked Questions on LCM of 3213 and 3221

1. What is the LCM of 3213 and 3221?

Answer: LCM of 3213 and 3221 is 10349073.

2. What are the Factors of 3213?

Answer: Factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213. There are 16 integers that are factors of 3213. The greatest factor of 3213 is 3213.

3. What are the Factors of 3221?

Answer: Factors of 3221 are 1, 3221. There are 2 integers that are factors of 3221. The greatest factor of 3221 is 3221.

4. How to Find the LCM of 3213 and 3221?

Answer:

Least Common Multiple of 3213 and 3221 = 10349073

Step 1: Find the prime factorization of 3213

3213 = 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 3221

3221 = 3221

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

LCM = 10349073 = 3 x 3 x 3 x 7 x 17 x 3221

Step 4: Therefore, the least common multiple of 3213 and 3221 is 10349073.