Least Common Multiple of 223 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 223 and 230 the smallest integer that is 51290 that is divisible by both numbers.

Least Common Multiple (LCM) of 223 and 230 is 51290.

LCM(223,230) = 51290

LCM of 223 and 230

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

LCM of:
and

Least Common Multiple of 223 and 230

LCM of 223 and 230 is 51290

Least common multiple can be found by multiplying the highest exponent prime factors of 223 and 230. First we will calculate the prime factors of 223 and 230.

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 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 223 and 230.

LCM(223,230) = 21×51×231×2231
LCM(223,230) = 51290

Factors of 223

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

1, 223

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 223 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 223 and 230, than apply into the LCM equation.

GCF(223,230) = 1
LCM(223,230) = ( 223 × 230) / 1
LCM(223,230) = 51290 / 1
LCM(223,230) = 51290

Properties of LCM 223 and 230

(i) The LCM of 230 and 223 is associative

LCM of 223 and 230 = LCM of 230 and 223

Related Least Common Multiples of 223

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 223 and 230

1. What is the LCM of 223 and 230?

Answer: LCM of 223 and 230 is 51290.

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 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 223 and 230?

Answer:

Least Common Multiple of 223 and 230 = 51290

Step 1: Find the prime factorization of 223

223 = 223

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 = 51290 = 2 x 5 x 23 x 223

Step 4: Therefore, the least common multiple of 223 and 230 is 51290.