Least Common Multiple of 12234 and 12238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12234 and 12238 the smallest integer that is 74859846 that is divisible by both numbers.

Least Common Multiple (LCM) of 12234 and 12238 is 74859846.

LCM(12234,12238) = 74859846

LCM of 12234 and 12238

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

LCM of:
and

Least Common Multiple of 12234 and 12238

LCM of 12234 and 12238 is 74859846

Least common multiple can be found by multiplying the highest exponent prime factors of 12234 and 12238. First we will calculate the prime factors of 12234 and 12238.

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

Prime Factorization of 12238


2 12238
29 6119
211 211
1

Prime factors of 12238 are 2, 29,211. Prime factorization of 12238 in exponential form is:

12238 = 21×291×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 12234 and 12238.

LCM(12234,12238) = 21×31×291×2111×20391
LCM(12234,12238) = 74859846

Factors of 12234

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

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

Factors of 12238

List of positive integer factors of 12238 that divides 12238 without a remainder.

1, 2, 29, 58, 211, 422, 6119, 12238

Least Common Multiple of 12234 and 12238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12234 and 12238, than apply into the LCM equation.

GCF(12234,12238) = 2
LCM(12234,12238) = ( 12234 × 12238) / 2
LCM(12234,12238) = 149719692 / 2
LCM(12234,12238) = 74859846

Properties of LCM 12234 and 12238

(i) The LCM of 12238 and 12234 is associative

LCM of 12234 and 12238 = LCM of 12238 and 12234

Related Least Common Multiples of 12234

Related Least Common Multiples of 12238

Frequently Asked Questions on LCM of 12234 and 12238

1. What is the LCM of 12234 and 12238?

Answer: LCM of 12234 and 12238 is 74859846.

2. 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.

3. What are the Factors of 12238?

Answer: Factors of 12238 are 1, 2, 29, 58, 211, 422, 6119, 12238. There are 8 integers that are factors of 12238. The greatest factor of 12238 is 12238.

4. How to Find the LCM of 12234 and 12238?

Answer:

Least Common Multiple of 12234 and 12238 = 74859846

Step 1: Find the prime factorization of 12234

12234 = 2 x 3 x 2039

Step 2: Find the prime factorization of 12238

12238 = 2 x 29 x 211

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

LCM = 74859846 = 2 x 3 x 29 x 211 x 2039

Step 4: Therefore, the least common multiple of 12234 and 12238 is 74859846.