Least Common Multiple of 221 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 221 and 223 the smallest integer that is 49283 that is divisible by both numbers.

Least Common Multiple (LCM) of 221 and 223 is 49283.

LCM(221,223) = 49283

LCM of 221 and 223

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

LCM of:
and

Least Common Multiple of 221 and 223

LCM of 221 and 223 is 49283

Least common multiple can be found by multiplying the highest exponent prime factors of 221 and 223. First we will calculate the prime factors of 221 and 223.

Prime Factorization of 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

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 221 and 223.

LCM(221,223) = 131×171×2231
LCM(221,223) = 49283

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Factors of 223

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

1, 223

Least Common Multiple of 221 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 221 and 223, than apply into the LCM equation.

GCF(221,223) = 1
LCM(221,223) = ( 221 × 223) / 1
LCM(221,223) = 49283 / 1
LCM(221,223) = 49283

Properties of LCM 221 and 223

(i) The LCM of 223 and 221 is associative

LCM of 221 and 223 = LCM of 223 and 221

Related Least Common Multiples of 221

Related Least Common Multiples of 223

Frequently Asked Questions on LCM of 221 and 223

1. What is the LCM of 221 and 223?

Answer: LCM of 221 and 223 is 49283.

2. What are the Factors of 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

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 221 and 223?

Answer:

Least Common Multiple of 221 and 223 = 49283

Step 1: Find the prime factorization of 221

221 = 13 x 17

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 = 49283 = 13 x 17 x 223

Step 4: Therefore, the least common multiple of 221 and 223 is 49283.