Least Common Multiple of 221 and 227

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 227 the smallest integer that is 50167 that is divisible by both numbers.

Least Common Multiple (LCM) of 221 and 227 is 50167.

LCM(221,227) = 50167

LCM of 221 and 227

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

LCM of:
and

Least Common Multiple of 221 and 227

LCM of 221 and 227 is 50167

Least common multiple can be found by multiplying the highest exponent prime factors of 221 and 227. First we will calculate the prime factors of 221 and 227.

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 227


227 227
1

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 221 and 227.

LCM(221,227) = 131×171×2271
LCM(221,227) = 50167

Factors of 221

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

1, 13, 17, 221

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1, 227

Least Common Multiple of 221 and 227 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 227, than apply into the LCM equation.

GCF(221,227) = 1
LCM(221,227) = ( 221 × 227) / 1
LCM(221,227) = 50167 / 1
LCM(221,227) = 50167

Properties of LCM 221 and 227

(i) The LCM of 227 and 221 is associative

LCM of 221 and 227 = LCM of 227 and 221

Related Least Common Multiples of 221

Related Least Common Multiples of 227

Frequently Asked Questions on LCM of 221 and 227

1. What is the LCM of 221 and 227?

Answer: LCM of 221 and 227 is 50167.

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 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

4. How to Find the LCM of 221 and 227?

Answer:

Least Common Multiple of 221 and 227 = 50167

Step 1: Find the prime factorization of 221

221 = 13 x 17

Step 2: Find the prime factorization of 227

227 = 227

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

LCM = 50167 = 13 x 17 x 227

Step 4: Therefore, the least common multiple of 221 and 227 is 50167.