Least Common Multiple of 3220 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 3220 and 3224 the smallest integer that is 2595320 that is divisible by both numbers.

Least Common Multiple (LCM) of 3220 and 3224 is 2595320.

LCM(3220,3224) = 2595320

LCM of 3220 and 3224

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

LCM of:
and

Least Common Multiple of 3220 and 3224

LCM of 3220 and 3224 is 2595320

Least common multiple can be found by multiplying the highest exponent prime factors of 3220 and 3224. First we will calculate the prime factors of 3220 and 3224.

Prime Factorization of 3220


2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 3220 are 2, 5, 7,23. Prime factorization of 3220 in exponential form is:

3220 = 22×51×71×231

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 3220 and 3224.

LCM(3220,3224) = 23×51×71×131×231×311
LCM(3220,3224) = 2595320

Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220

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 3220 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 3220 and 3224, than apply into the LCM equation.

GCF(3220,3224) = 4
LCM(3220,3224) = ( 3220 × 3224) / 4
LCM(3220,3224) = 10381280 / 4
LCM(3220,3224) = 2595320

Properties of LCM 3220 and 3224

(i) The LCM of 3224 and 3220 is associative

LCM of 3220 and 3224 = LCM of 3224 and 3220

Related Least Common Multiples of 3220

Related Least Common Multiples of 3224

Frequently Asked Questions on LCM of 3220 and 3224

1. What is the LCM of 3220 and 3224?

Answer: LCM of 3220 and 3224 is 2595320.

2. What are the Factors of 3220?

Answer: Factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220. There are 24 integers that are factors of 3220. The greatest factor of 3220 is 3220.

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 3220 and 3224?

Answer:

Least Common Multiple of 3220 and 3224 = 2595320

Step 1: Find the prime factorization of 3220

3220 = 2 x 2 x 5 x 7 x 23

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 = 2595320 = 2 x 2 x 2 x 5 x 7 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 3220 and 3224 is 2595320.