Least Common Multiple of 3216 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 3216 and 3224 the smallest integer that is 1296048 that is divisible by both numbers.

Least Common Multiple (LCM) of 3216 and 3224 is 1296048.

LCM(3216,3224) = 1296048

LCM of 3216 and 3224

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

LCM of:
and

Least Common Multiple of 3216 and 3224

LCM of 3216 and 3224 is 1296048

Least common multiple can be found by multiplying the highest exponent prime factors of 3216 and 3224. First we will calculate the prime factors of 3216 and 3224.

Prime Factorization of 3216


2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 3216 are 2, 3,67. Prime factorization of 3216 in exponential form is:

3216 = 24×31×671

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 3216 and 3224.

LCM(3216,3224) = 24×31×131×311×671
LCM(3216,3224) = 1296048

Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216

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 3216 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 3216 and 3224, than apply into the LCM equation.

GCF(3216,3224) = 8
LCM(3216,3224) = ( 3216 × 3224) / 8
LCM(3216,3224) = 10368384 / 8
LCM(3216,3224) = 1296048

Properties of LCM 3216 and 3224

(i) The LCM of 3224 and 3216 is associative

LCM of 3216 and 3224 = LCM of 3224 and 3216

Related Least Common Multiples of 3216

Related Least Common Multiples of 3224

Frequently Asked Questions on LCM of 3216 and 3224

1. What is the LCM of 3216 and 3224?

Answer: LCM of 3216 and 3224 is 1296048.

2. What are the Factors of 3216?

Answer: Factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216. There are 20 integers that are factors of 3216. The greatest factor of 3216 is 3216.

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 3216 and 3224?

Answer:

Least Common Multiple of 3216 and 3224 = 1296048

Step 1: Find the prime factorization of 3216

3216 = 2 x 2 x 2 x 2 x 3 x 67

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 = 1296048 = 2 x 2 x 2 x 2 x 3 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 3216 and 3224 is 1296048.