Least Common Multiple of 12233 and 12240

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 12240 the smallest integer that is 149731920 that is divisible by both numbers.

Least Common Multiple (LCM) of 12233 and 12240 is 149731920.

LCM(12233,12240) = 149731920

LCM of 12233 and 12240

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

LCM of:
and

Least Common Multiple of 12233 and 12240

LCM of 12233 and 12240 is 149731920

Least common multiple can be found by multiplying the highest exponent prime factors of 12233 and 12240. First we will calculate the prime factors of 12233 and 12240.

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 12240


2 12240
2 6120
2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 12240 are 2, 3, 5,17. Prime factorization of 12240 in exponential form is:

12240 = 24×32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 12233 and 12240.

LCM(12233,12240) = 24×32×51×131×171×9411
LCM(12233,12240) = 149731920

Factors of 12233

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

1, 13, 941, 12233

Factors of 12240

List of positive integer factors of 12240 that divides 12240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 102, 120, 136, 144, 153, 170, 180, 204, 240, 255, 272, 306, 340, 360, 408, 510, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1530, 2040, 2448, 3060, 4080, 6120, 12240

Least Common Multiple of 12233 and 12240 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 12240, than apply into the LCM equation.

GCF(12233,12240) = 1
LCM(12233,12240) = ( 12233 × 12240) / 1
LCM(12233,12240) = 149731920 / 1
LCM(12233,12240) = 149731920

Properties of LCM 12233 and 12240

(i) The LCM of 12240 and 12233 is associative

LCM of 12233 and 12240 = LCM of 12240 and 12233

Related Least Common Multiples of 12233

Related Least Common Multiples of 12240

Frequently Asked Questions on LCM of 12233 and 12240

1. What is the LCM of 12233 and 12240?

Answer: LCM of 12233 and 12240 is 149731920.

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 12240?

Answer: Factors of 12240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 102, 120, 136, 144, 153, 170, 180, 204, 240, 255, 272, 306, 340, 360, 408, 510, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1530, 2040, 2448, 3060, 4080, 6120, 12240. There are 60 integers that are factors of 12240. The greatest factor of 12240 is 12240.

4. How to Find the LCM of 12233 and 12240?

Answer:

Least Common Multiple of 12233 and 12240 = 149731920

Step 1: Find the prime factorization of 12233

12233 = 13 x 941

Step 2: Find the prime factorization of 12240

12240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17

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

LCM = 149731920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 17 x 941

Step 4: Therefore, the least common multiple of 12233 and 12240 is 149731920.