Least Common Multiple of 3217 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 3217 and 3223 the smallest integer that is 10368391 that is divisible by both numbers.

Least Common Multiple (LCM) of 3217 and 3223 is 10368391.

LCM(3217,3223) = 10368391

LCM of 3217 and 3223

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

LCM of:
and

Least Common Multiple of 3217 and 3223

LCM of 3217 and 3223 is 10368391

Least common multiple can be found by multiplying the highest exponent prime factors of 3217 and 3223. First we will calculate the prime factors of 3217 and 3223.

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 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 3217 and 3223.

LCM(3217,3223) = 111×2931×32171
LCM(3217,3223) = 10368391

Factors of 3217

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

1, 3217

Factors of 3223

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

1, 11, 293, 3223

Least Common Multiple of 3217 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 3217 and 3223, than apply into the LCM equation.

GCF(3217,3223) = 1
LCM(3217,3223) = ( 3217 × 3223) / 1
LCM(3217,3223) = 10368391 / 1
LCM(3217,3223) = 10368391

Properties of LCM 3217 and 3223

(i) The LCM of 3223 and 3217 is associative

LCM of 3217 and 3223 = LCM of 3223 and 3217

Related Least Common Multiples of 3217

Related Least Common Multiples of 3223

Frequently Asked Questions on LCM of 3217 and 3223

1. What is the LCM of 3217 and 3223?

Answer: LCM of 3217 and 3223 is 10368391.

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 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 3217 and 3223?

Answer:

Least Common Multiple of 3217 and 3223 = 10368391

Step 1: Find the prime factorization of 3217

3217 = 3217

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 = 10368391 = 11 x 293 x 3217

Step 4: Therefore, the least common multiple of 3217 and 3223 is 10368391.