Least Common Multiple of 12230 and 12234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12230 and 12234 the smallest integer that is 74810910 that is divisible by both numbers.

Least Common Multiple (LCM) of 12230 and 12234 is 74810910.

LCM(12230,12234) = 74810910

LCM of 12230 and 12234

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

LCM of:
and

Least Common Multiple of 12230 and 12234

LCM of 12230 and 12234 is 74810910

Least common multiple can be found by multiplying the highest exponent prime factors of 12230 and 12234. First we will calculate the prime factors of 12230 and 12234.

Prime Factorization of 12230


2 12230
5 6115
1223 1223
1

Prime factors of 12230 are 2, 5,1223. Prime factorization of 12230 in exponential form is:

12230 = 21×51×12231

Prime Factorization of 12234


2 12234
3 6117
2039 2039
1

Prime factors of 12234 are 2, 3,2039. Prime factorization of 12234 in exponential form is:

12234 = 21×31×20391

Now multiplying the highest exponent prime factors to calculate the LCM of 12230 and 12234.

LCM(12230,12234) = 21×31×51×12231×20391
LCM(12230,12234) = 74810910

Factors of 12230

List of positive integer factors of 12230 that divides 12230 without a remainder.

1, 2, 5, 10, 1223, 2446, 6115, 12230

Factors of 12234

List of positive integer factors of 12234 that divides 12234 without a remainder.

1, 2, 3, 6, 2039, 4078, 6117, 12234

Least Common Multiple of 12230 and 12234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12230 and 12234, than apply into the LCM equation.

GCF(12230,12234) = 2
LCM(12230,12234) = ( 12230 × 12234) / 2
LCM(12230,12234) = 149621820 / 2
LCM(12230,12234) = 74810910

Properties of LCM 12230 and 12234

(i) The LCM of 12234 and 12230 is associative

LCM of 12230 and 12234 = LCM of 12234 and 12230

Related Least Common Multiples of 12230

Related Least Common Multiples of 12234

Frequently Asked Questions on LCM of 12230 and 12234

1. What is the LCM of 12230 and 12234?

Answer: LCM of 12230 and 12234 is 74810910.

2. What are the Factors of 12230?

Answer: Factors of 12230 are 1, 2, 5, 10, 1223, 2446, 6115, 12230. There are 8 integers that are factors of 12230. The greatest factor of 12230 is 12230.

3. What are the Factors of 12234?

Answer: Factors of 12234 are 1, 2, 3, 6, 2039, 4078, 6117, 12234. There are 8 integers that are factors of 12234. The greatest factor of 12234 is 12234.

4. How to Find the LCM of 12230 and 12234?

Answer:

Least Common Multiple of 12230 and 12234 = 74810910

Step 1: Find the prime factorization of 12230

12230 = 2 x 5 x 1223

Step 2: Find the prime factorization of 12234

12234 = 2 x 3 x 2039

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

LCM = 74810910 = 2 x 3 x 5 x 1223 x 2039

Step 4: Therefore, the least common multiple of 12230 and 12234 is 74810910.