Least Common Multiple of 228 and 233

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 233 the smallest integer that is 53124 that is divisible by both numbers.

Least Common Multiple (LCM) of 228 and 233 is 53124.

LCM(228,233) = 53124

LCM of 228 and 233

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

LCM of:
and

Least Common Multiple of 228 and 233

LCM of 228 and 233 is 53124

Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 233. First we will calculate the prime factors of 228 and 233.

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 233


233 233
1

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 228 and 233.

LCM(228,233) = 22×31×191×2331
LCM(228,233) = 53124

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 233

List of positive integer factors of 233 that divides 233 without a remainder.

1, 233

Least Common Multiple of 228 and 233 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 233, than apply into the LCM equation.

GCF(228,233) = 1
LCM(228,233) = ( 228 × 233) / 1
LCM(228,233) = 53124 / 1
LCM(228,233) = 53124

Properties of LCM 228 and 233

(i) The LCM of 233 and 228 is associative

LCM of 228 and 233 = LCM of 233 and 228

Related Least Common Multiples of 228

Related Least Common Multiples of 233

Frequently Asked Questions on LCM of 228 and 233

1. What is the LCM of 228 and 233?

Answer: LCM of 228 and 233 is 53124.

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 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

4. How to Find the LCM of 228 and 233?

Answer:

Least Common Multiple of 228 and 233 = 53124

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 233

233 = 233

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

LCM = 53124 = 2 x 2 x 3 x 19 x 233

Step 4: Therefore, the least common multiple of 228 and 233 is 53124.