Least Common Multiple of 221 and 228

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 228 the smallest integer that is 50388 that is divisible by both numbers.

Least Common Multiple (LCM) of 221 and 228 is 50388.

LCM(221,228) = 50388

LCM of 221 and 228

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

LCM of:
and

Least Common Multiple of 221 and 228

LCM of 221 and 228 is 50388

Least common multiple can be found by multiplying the highest exponent prime factors of 221 and 228. First we will calculate the prime factors of 221 and 228.

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 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 221 and 228.

LCM(221,228) = 22×31×131×171×191
LCM(221,228) = 50388

Factors of 221

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

1, 13, 17, 221

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Least Common Multiple of 221 and 228 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 228, than apply into the LCM equation.

GCF(221,228) = 1
LCM(221,228) = ( 221 × 228) / 1
LCM(221,228) = 50388 / 1
LCM(221,228) = 50388

Properties of LCM 221 and 228

(i) The LCM of 228 and 221 is associative

LCM of 221 and 228 = LCM of 228 and 221

Related Least Common Multiples of 221

Related Least Common Multiples of 228

Frequently Asked Questions on LCM of 221 and 228

1. What is the LCM of 221 and 228?

Answer: LCM of 221 and 228 is 50388.

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 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

4. How to Find the LCM of 221 and 228?

Answer:

Least Common Multiple of 221 and 228 = 50388

Step 1: Find the prime factorization of 221

221 = 13 x 17

Step 2: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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

LCM = 50388 = 2 x 2 x 3 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 221 and 228 is 50388.