Least Common Multiple of 223 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 223 and 228 the smallest integer that is 50844 that is divisible by both numbers.

Least Common Multiple (LCM) of 223 and 228 is 50844.

LCM(223,228) = 50844

LCM of 223 and 228

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

LCM of:
and

Least Common Multiple of 223 and 228

LCM of 223 and 228 is 50844

Least common multiple can be found by multiplying the highest exponent prime factors of 223 and 228. First we will calculate the prime factors of 223 and 228.

Prime Factorization of 223


223 223
1

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

223 = 2231

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 223 and 228.

LCM(223,228) = 22×31×191×2231
LCM(223,228) = 50844

Factors of 223

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

1, 223

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 223 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 223 and 228, than apply into the LCM equation.

GCF(223,228) = 1
LCM(223,228) = ( 223 × 228) / 1
LCM(223,228) = 50844 / 1
LCM(223,228) = 50844

Properties of LCM 223 and 228

(i) The LCM of 228 and 223 is associative

LCM of 223 and 228 = LCM of 228 and 223

Related Least Common Multiples of 223

Related Least Common Multiples of 228

Frequently Asked Questions on LCM of 223 and 228

1. What is the LCM of 223 and 228?

Answer: LCM of 223 and 228 is 50844.

2. 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.

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 223 and 228?

Answer:

Least Common Multiple of 223 and 228 = 50844

Step 1: Find the prime factorization of 223

223 = 223

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 = 50844 = 2 x 2 x 3 x 19 x 223

Step 4: Therefore, the least common multiple of 223 and 228 is 50844.