Least Common Multiple of 230 and 234

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 234 the smallest integer that is 26910 that is divisible by both numbers.

Least Common Multiple (LCM) of 230 and 234 is 26910.

LCM(230,234) = 26910

LCM of 230 and 234

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

LCM of:
and

Least Common Multiple of 230 and 234

LCM of 230 and 234 is 26910

Least common multiple can be found by multiplying the highest exponent prime factors of 230 and 234. First we will calculate the prime factors of 230 and 234.

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 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 230 and 234.

LCM(230,234) = 21×32×51×131×231
LCM(230,234) = 26910

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 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Least Common Multiple of 230 and 234 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 234, than apply into the LCM equation.

GCF(230,234) = 2
LCM(230,234) = ( 230 × 234) / 2
LCM(230,234) = 53820 / 2
LCM(230,234) = 26910

Properties of LCM 230 and 234

(i) The LCM of 234 and 230 is associative

LCM of 230 and 234 = LCM of 234 and 230

Related Least Common Multiples of 230

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 230 and 234

1. What is the LCM of 230 and 234?

Answer: LCM of 230 and 234 is 26910.

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 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

4. How to Find the LCM of 230 and 234?

Answer:

Least Common Multiple of 230 and 234 = 26910

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

Step 2: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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

LCM = 26910 = 2 x 3 x 3 x 5 x 13 x 23

Step 4: Therefore, the least common multiple of 230 and 234 is 26910.