Least Common Multiple of 12234 and 12239

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 12239 the smallest integer that is 149731926 that is divisible by both numbers.

Least Common Multiple (LCM) of 12234 and 12239 is 149731926.

LCM(12234,12239) = 149731926

LCM of 12234 and 12239

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

LCM of:
and

Least Common Multiple of 12234 and 12239

LCM of 12234 and 12239 is 149731926

Least common multiple can be found by multiplying the highest exponent prime factors of 12234 and 12239. First we will calculate the prime factors of 12234 and 12239.

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 12239


12239 12239
1

Prime factors of 12239 are 12239. Prime factorization of 12239 in exponential form is:

12239 = 122391

Now multiplying the highest exponent prime factors to calculate the LCM of 12234 and 12239.

LCM(12234,12239) = 21×31×20391×122391
LCM(12234,12239) = 149731926

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 12239

List of positive integer factors of 12239 that divides 12239 without a remainder.

1, 12239

Least Common Multiple of 12234 and 12239 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 12239, than apply into the LCM equation.

GCF(12234,12239) = 1
LCM(12234,12239) = ( 12234 × 12239) / 1
LCM(12234,12239) = 149731926 / 1
LCM(12234,12239) = 149731926

Properties of LCM 12234 and 12239

(i) The LCM of 12239 and 12234 is associative

LCM of 12234 and 12239 = LCM of 12239 and 12234

Related Least Common Multiples of 12234

Related Least Common Multiples of 12239

Frequently Asked Questions on LCM of 12234 and 12239

1. What is the LCM of 12234 and 12239?

Answer: LCM of 12234 and 12239 is 149731926.

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 12239?

Answer: Factors of 12239 are 1, 12239. There are 2 integers that are factors of 12239. The greatest factor of 12239 is 12239.

4. How to Find the LCM of 12234 and 12239?

Answer:

Least Common Multiple of 12234 and 12239 = 149731926

Step 1: Find the prime factorization of 12234

12234 = 2 x 3 x 2039

Step 2: Find the prime factorization of 12239

12239 = 12239

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

LCM = 149731926 = 2 x 3 x 2039 x 12239

Step 4: Therefore, the least common multiple of 12234 and 12239 is 149731926.