Least Common Multiple of 12232 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 12232 and 12240 the smallest integer that is 18714960 that is divisible by both numbers.

Least Common Multiple (LCM) of 12232 and 12240 is 18714960.

LCM(12232,12240) = 18714960

LCM of 12232 and 12240

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

LCM of:
and

Least Common Multiple of 12232 and 12240

LCM of 12232 and 12240 is 18714960

Least common multiple can be found by multiplying the highest exponent prime factors of 12232 and 12240. First we will calculate the prime factors of 12232 and 12240.

Prime Factorization of 12232


2 12232
2 6116
2 3058
11 1529
139 139
1

Prime factors of 12232 are 2, 11,139. Prime factorization of 12232 in exponential form is:

12232 = 23×111×1391

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 12232 and 12240.

LCM(12232,12240) = 24×32×51×111×171×1391
LCM(12232,12240) = 18714960

Factors of 12232

List of positive integer factors of 12232 that divides 12232 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116, 12232

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 12232 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 12232 and 12240, than apply into the LCM equation.

GCF(12232,12240) = 8
LCM(12232,12240) = ( 12232 × 12240) / 8
LCM(12232,12240) = 149719680 / 8
LCM(12232,12240) = 18714960

Properties of LCM 12232 and 12240

(i) The LCM of 12240 and 12232 is associative

LCM of 12232 and 12240 = LCM of 12240 and 12232

Related Least Common Multiples of 12232

Related Least Common Multiples of 12240

Frequently Asked Questions on LCM of 12232 and 12240

1. What is the LCM of 12232 and 12240?

Answer: LCM of 12232 and 12240 is 18714960.

2. What are the Factors of 12232?

Answer: Factors of 12232 are 1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116, 12232. There are 16 integers that are factors of 12232. The greatest factor of 12232 is 12232.

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 12232 and 12240?

Answer:

Least Common Multiple of 12232 and 12240 = 18714960

Step 1: Find the prime factorization of 12232

12232 = 2 x 2 x 2 x 11 x 139

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 = 18714960 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 139

Step 4: Therefore, the least common multiple of 12232 and 12240 is 18714960.