Least Common Multiple of 3216 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 3216 and 3221 the smallest integer that is 10358736 that is divisible by both numbers.

Least Common Multiple (LCM) of 3216 and 3221 is 10358736.

LCM(3216,3221) = 10358736

LCM of 3216 and 3221

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

LCM of:
and

Least Common Multiple of 3216 and 3221

LCM of 3216 and 3221 is 10358736

Least common multiple can be found by multiplying the highest exponent prime factors of 3216 and 3221. First we will calculate the prime factors of 3216 and 3221.

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 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 3216 and 3221.

LCM(3216,3221) = 24×31×671×32211
LCM(3216,3221) = 10358736

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 3221

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

1, 3221

Least Common Multiple of 3216 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 3216 and 3221, than apply into the LCM equation.

GCF(3216,3221) = 1
LCM(3216,3221) = ( 3216 × 3221) / 1
LCM(3216,3221) = 10358736 / 1
LCM(3216,3221) = 10358736

Properties of LCM 3216 and 3221

(i) The LCM of 3221 and 3216 is associative

LCM of 3216 and 3221 = LCM of 3221 and 3216

Related Least Common Multiples of 3216

Related Least Common Multiples of 3221

Frequently Asked Questions on LCM of 3216 and 3221

1. What is the LCM of 3216 and 3221?

Answer: LCM of 3216 and 3221 is 10358736.

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 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 3216 and 3221?

Answer:

Least Common Multiple of 3216 and 3221 = 10358736

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 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 = 10358736 = 2 x 2 x 2 x 2 x 3 x 67 x 3221

Step 4: Therefore, the least common multiple of 3216 and 3221 is 10358736.