Least Common Multiple of 12233 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 12233 and 12238 the smallest integer that is 149707454 that is divisible by both numbers.

Least Common Multiple (LCM) of 12233 and 12238 is 149707454.

LCM(12233,12238) = 149707454

LCM of 12233 and 12238

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

LCM of:
and

Least Common Multiple of 12233 and 12238

LCM of 12233 and 12238 is 149707454

Least common multiple can be found by multiplying the highest exponent prime factors of 12233 and 12238. First we will calculate the prime factors of 12233 and 12238.

Prime Factorization of 12233


13 12233
941 941
1

Prime factors of 12233 are 13,941. Prime factorization of 12233 in exponential form is:

12233 = 131×9411

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 12233 and 12238.

LCM(12233,12238) = 21×131×291×2111×9411
LCM(12233,12238) = 149707454

Factors of 12233

List of positive integer factors of 12233 that divides 12233 without a remainder.

1, 13, 941, 12233

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 12233 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 12233 and 12238, than apply into the LCM equation.

GCF(12233,12238) = 1
LCM(12233,12238) = ( 12233 × 12238) / 1
LCM(12233,12238) = 149707454 / 1
LCM(12233,12238) = 149707454

Properties of LCM 12233 and 12238

(i) The LCM of 12238 and 12233 is associative

LCM of 12233 and 12238 = LCM of 12238 and 12233

Related Least Common Multiples of 12233

Related Least Common Multiples of 12238

Frequently Asked Questions on LCM of 12233 and 12238

1. What is the LCM of 12233 and 12238?

Answer: LCM of 12233 and 12238 is 149707454.

2. What are the Factors of 12233?

Answer: Factors of 12233 are 1, 13, 941, 12233. There are 4 integers that are factors of 12233. The greatest factor of 12233 is 12233.

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 12233 and 12238?

Answer:

Least Common Multiple of 12233 and 12238 = 149707454

Step 1: Find the prime factorization of 12233

12233 = 13 x 941

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 = 149707454 = 2 x 13 x 29 x 211 x 941

Step 4: Therefore, the least common multiple of 12233 and 12238 is 149707454.