Least Common Multiple of 228 and 230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 228 and 230 the smallest integer that is 26220 that is divisible by both numbers.

Least Common Multiple (LCM) of 228 and 230 is 26220.

LCM(228,230) = 26220

LCM of 228 and 230

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

LCM of:
and

Least Common Multiple of 228 and 230

LCM of 228 and 230 is 26220

Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 230. First we will calculate the prime factors of 228 and 230.

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

Prime Factorization of 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 228 and 230.

LCM(228,230) = 22×31×51×191×231
LCM(228,230) = 26220

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

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Least Common Multiple of 228 and 230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 228 and 230, than apply into the LCM equation.

GCF(228,230) = 2
LCM(228,230) = ( 228 × 230) / 2
LCM(228,230) = 52440 / 2
LCM(228,230) = 26220

Properties of LCM 228 and 230

(i) The LCM of 230 and 228 is associative

LCM of 228 and 230 = LCM of 230 and 228

Related Least Common Multiples of 228

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 228 and 230

1. What is the LCM of 228 and 230?

Answer: LCM of 228 and 230 is 26220.

2. 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.

3. What are the Factors of 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

4. How to Find the LCM of 228 and 230?

Answer:

Least Common Multiple of 228 and 230 = 26220

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 230

230 = 2 x 5 x 23

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

LCM = 26220 = 2 x 2 x 3 x 5 x 19 x 23

Step 4: Therefore, the least common multiple of 228 and 230 is 26220.