Least Common Multiple of 230 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 230 and 233 the smallest integer that is 53590 that is divisible by both numbers.

Least Common Multiple (LCM) of 230 and 233 is 53590.

LCM(230,233) = 53590

LCM of 230 and 233

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

LCM of:
and

Least Common Multiple of 230 and 233

LCM of 230 and 233 is 53590

Least common multiple can be found by multiplying the highest exponent prime factors of 230 and 233. First we will calculate the prime factors of 230 and 233.

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

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 230 and 233.

LCM(230,233) = 21×51×231×2331
LCM(230,233) = 53590

Factors of 230

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

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

Factors of 233

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

1, 233

Least Common Multiple of 230 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 230 and 233, than apply into the LCM equation.

GCF(230,233) = 1
LCM(230,233) = ( 230 × 233) / 1
LCM(230,233) = 53590 / 1
LCM(230,233) = 53590

Properties of LCM 230 and 233

(i) The LCM of 233 and 230 is associative

LCM of 230 and 233 = LCM of 233 and 230

Related Least Common Multiples of 230

Related Least Common Multiples of 233

Frequently Asked Questions on LCM of 230 and 233

1. What is the LCM of 230 and 233?

Answer: LCM of 230 and 233 is 53590.

2. 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.

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 230 and 233?

Answer:

Least Common Multiple of 230 and 233 = 53590

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

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 = 53590 = 2 x 5 x 23 x 233

Step 4: Therefore, the least common multiple of 230 and 233 is 53590.