Least Common Multiple of 228 and 229

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 229 the smallest integer that is 52212 that is divisible by both numbers.

Least Common Multiple (LCM) of 228 and 229 is 52212.

LCM(228,229) = 52212

LCM of 228 and 229

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

LCM of:
and

Least Common Multiple of 228 and 229

LCM of 228 and 229 is 52212

Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 229. First we will calculate the prime factors of 228 and 229.

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 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 228 and 229.

LCM(228,229) = 22×31×191×2291
LCM(228,229) = 52212

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 229

List of positive integer factors of 229 that divides 229 without a remainder.

1, 229

Least Common Multiple of 228 and 229 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 229, than apply into the LCM equation.

GCF(228,229) = 1
LCM(228,229) = ( 228 × 229) / 1
LCM(228,229) = 52212 / 1
LCM(228,229) = 52212

Properties of LCM 228 and 229

(i) The LCM of 229 and 228 is associative

LCM of 228 and 229 = LCM of 229 and 228

Related Least Common Multiples of 228

Related Least Common Multiples of 229

Frequently Asked Questions on LCM of 228 and 229

1. What is the LCM of 228 and 229?

Answer: LCM of 228 and 229 is 52212.

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 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

4. How to Find the LCM of 228 and 229?

Answer:

Least Common Multiple of 228 and 229 = 52212

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 229

229 = 229

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

LCM = 52212 = 2 x 2 x 3 x 19 x 229

Step 4: Therefore, the least common multiple of 228 and 229 is 52212.