Least Common Multiple of 3216 and 3223

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 3223 the smallest integer that is 10365168 that is divisible by both numbers.

Least Common Multiple (LCM) of 3216 and 3223 is 10365168.

LCM(3216,3223) = 10365168

LCM of 3216 and 3223

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

LCM of:
and

Least Common Multiple of 3216 and 3223

LCM of 3216 and 3223 is 10365168

Least common multiple can be found by multiplying the highest exponent prime factors of 3216 and 3223. First we will calculate the prime factors of 3216 and 3223.

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 3223


11 3223
293 293
1

Prime factors of 3223 are 11,293. Prime factorization of 3223 in exponential form is:

3223 = 111×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 3216 and 3223.

LCM(3216,3223) = 24×31×111×671×2931
LCM(3216,3223) = 10365168

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 3223

List of positive integer factors of 3223 that divides 3223 without a remainder.

1, 11, 293, 3223

Least Common Multiple of 3216 and 3223 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 3223, than apply into the LCM equation.

GCF(3216,3223) = 1
LCM(3216,3223) = ( 3216 × 3223) / 1
LCM(3216,3223) = 10365168 / 1
LCM(3216,3223) = 10365168

Properties of LCM 3216 and 3223

(i) The LCM of 3223 and 3216 is associative

LCM of 3216 and 3223 = LCM of 3223 and 3216

Related Least Common Multiples of 3216

Related Least Common Multiples of 3223

Frequently Asked Questions on LCM of 3216 and 3223

1. What is the LCM of 3216 and 3223?

Answer: LCM of 3216 and 3223 is 10365168.

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 3223?

Answer: Factors of 3223 are 1, 11, 293, 3223. There are 4 integers that are factors of 3223. The greatest factor of 3223 is 3223.

4. How to Find the LCM of 3216 and 3223?

Answer:

Least Common Multiple of 3216 and 3223 = 10365168

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 3223

3223 = 11 x 293

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

LCM = 10365168 = 2 x 2 x 2 x 2 x 3 x 11 x 67 x 293

Step 4: Therefore, the least common multiple of 3216 and 3223 is 10365168.