Least Common Multiple of 217 and 223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 217 and 223 the smallest integer that is 48391 that is divisible by both numbers.

Least Common Multiple (LCM) of 217 and 223 is 48391.

LCM(217,223) = 48391

LCM of 217 and 223

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

LCM of:
and

Least Common Multiple of 217 and 223

LCM of 217 and 223 is 48391

Least common multiple can be found by multiplying the highest exponent prime factors of 217 and 223. First we will calculate the prime factors of 217 and 223.

Prime Factorization of 217


7 217
31 31
1

Prime factors of 217 are 7,31. Prime factorization of 217 in exponential form is:

217 = 71×311

Prime Factorization of 223


223 223
1

Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:

223 = 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 217 and 223.

LCM(217,223) = 71×311×2231
LCM(217,223) = 48391

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1, 223

Least Common Multiple of 217 and 223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 217 and 223, than apply into the LCM equation.

GCF(217,223) = 1
LCM(217,223) = ( 217 × 223) / 1
LCM(217,223) = 48391 / 1
LCM(217,223) = 48391

Properties of LCM 217 and 223

(i) The LCM of 223 and 217 is associative

LCM of 217 and 223 = LCM of 223 and 217

Related Least Common Multiples of 217

Related Least Common Multiples of 223

Frequently Asked Questions on LCM of 217 and 223

1. What is the LCM of 217 and 223?

Answer: LCM of 217 and 223 is 48391.

2. What are the Factors of 217?

Answer: Factors of 217 are 1, 7, 31, 217. There are 4 integers that are factors of 217. The greatest factor of 217 is 217.

3. What are the Factors of 223?

Answer: Factors of 223 are 1, 223. There are 2 integers that are factors of 223. The greatest factor of 223 is 223.

4. How to Find the LCM of 217 and 223?

Answer:

Least Common Multiple of 217 and 223 = 48391

Step 1: Find the prime factorization of 217

217 = 7 x 31

Step 2: Find the prime factorization of 223

223 = 223

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

LCM = 48391 = 7 x 31 x 223

Step 4: Therefore, the least common multiple of 217 and 223 is 48391.