Least Common Multiple of 3217 and 3224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3217 and 3224 the smallest integer that is 10371608 that is divisible by both numbers.

Least Common Multiple (LCM) of 3217 and 3224 is 10371608.

LCM(3217,3224) = 10371608

LCM of 3217 and 3224

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

LCM of:
and

Least Common Multiple of 3217 and 3224

LCM of 3217 and 3224 is 10371608

Least common multiple can be found by multiplying the highest exponent prime factors of 3217 and 3224. First we will calculate the prime factors of 3217 and 3224.

Prime Factorization of 3217


3217 3217
1

Prime factors of 3217 are 3217. Prime factorization of 3217 in exponential form is:

3217 = 32171

Prime Factorization of 3224


2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 3224 are 2, 13,31. Prime factorization of 3224 in exponential form is:

3224 = 23×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3217 and 3224.

LCM(3217,3224) = 23×131×311×32171
LCM(3217,3224) = 10371608

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1, 3217

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224

Least Common Multiple of 3217 and 3224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3217 and 3224, than apply into the LCM equation.

GCF(3217,3224) = 1
LCM(3217,3224) = ( 3217 × 3224) / 1
LCM(3217,3224) = 10371608 / 1
LCM(3217,3224) = 10371608

Properties of LCM 3217 and 3224

(i) The LCM of 3224 and 3217 is associative

LCM of 3217 and 3224 = LCM of 3224 and 3217

Related Least Common Multiples of 3217

Related Least Common Multiples of 3224

Frequently Asked Questions on LCM of 3217 and 3224

1. What is the LCM of 3217 and 3224?

Answer: LCM of 3217 and 3224 is 10371608.

2. What are the Factors of 3217?

Answer: Factors of 3217 are 1, 3217. There are 2 integers that are factors of 3217. The greatest factor of 3217 is 3217.

3. What are the Factors of 3224?

Answer: Factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224. There are 16 integers that are factors of 3224. The greatest factor of 3224 is 3224.

4. How to Find the LCM of 3217 and 3224?

Answer:

Least Common Multiple of 3217 and 3224 = 10371608

Step 1: Find the prime factorization of 3217

3217 = 3217

Step 2: Find the prime factorization of 3224

3224 = 2 x 2 x 2 x 13 x 31

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

LCM = 10371608 = 2 x 2 x 2 x 13 x 31 x 3217

Step 4: Therefore, the least common multiple of 3217 and 3224 is 10371608.