Least Common Multiple of 16217 and 16223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16217 and 16223 the smallest integer that is 263088391 that is divisible by both numbers.

Least Common Multiple (LCM) of 16217 and 16223 is 263088391.

LCM(16217,16223) = 263088391

LCM of 16217 and 16223

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

LCM of:
and

Least Common Multiple of 16217 and 16223

LCM of 16217 and 16223 is 263088391

Least common multiple can be found by multiplying the highest exponent prime factors of 16217 and 16223. First we will calculate the prime factors of 16217 and 16223.

Prime Factorization of 16217


16217 16217
1

Prime factors of 16217 are 16217. Prime factorization of 16217 in exponential form is:

16217 = 162171

Prime Factorization of 16223


16223 16223
1

Prime factors of 16223 are 16223. Prime factorization of 16223 in exponential form is:

16223 = 162231

Now multiplying the highest exponent prime factors to calculate the LCM of 16217 and 16223.

LCM(16217,16223) = 162171×162231
LCM(16217,16223) = 263088391

Factors of 16217

List of positive integer factors of 16217 that divides 16217 without a remainder.

1, 16217

Factors of 16223

List of positive integer factors of 16223 that divides 16223 without a remainder.

1, 16223

Least Common Multiple of 16217 and 16223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16217 and 16223, than apply into the LCM equation.

GCF(16217,16223) = 1
LCM(16217,16223) = ( 16217 × 16223) / 1
LCM(16217,16223) = 263088391 / 1
LCM(16217,16223) = 263088391

Properties of LCM 16217 and 16223

(i) The LCM of 16223 and 16217 is associative

LCM of 16217 and 16223 = LCM of 16223 and 16217

Related Least Common Multiples of 16217

Related Least Common Multiples of 16223

Frequently Asked Questions on LCM of 16217 and 16223

1. What is the LCM of 16217 and 16223?

Answer: LCM of 16217 and 16223 is 263088391.

2. What are the Factors of 16217?

Answer: Factors of 16217 are 1, 16217. There are 2 integers that are factors of 16217. The greatest factor of 16217 is 16217.

3. What are the Factors of 16223?

Answer: Factors of 16223 are 1, 16223. There are 2 integers that are factors of 16223. The greatest factor of 16223 is 16223.

4. How to Find the LCM of 16217 and 16223?

Answer:

Least Common Multiple of 16217 and 16223 = 263088391

Step 1: Find the prime factorization of 16217

16217 = 16217

Step 2: Find the prime factorization of 16223

16223 = 16223

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

LCM = 263088391 = 16217 x 16223

Step 4: Therefore, the least common multiple of 16217 and 16223 is 263088391.