Least Common Multiple of 12240 and 12248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12240 and 12248 the smallest integer that is 18739440 that is divisible by both numbers.

Least Common Multiple (LCM) of 12240 and 12248 is 18739440.

LCM(12240,12248) = 18739440

LCM of 12240 and 12248

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

LCM of:
and

Least Common Multiple of 12240 and 12248

LCM of 12240 and 12248 is 18739440

Least common multiple can be found by multiplying the highest exponent prime factors of 12240 and 12248. First we will calculate the prime factors of 12240 and 12248.

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

Prime Factorization of 12248


2 12248
2 6124
2 3062
1531 1531
1

Prime factors of 12248 are 2,1531. Prime factorization of 12248 in exponential form is:

12248 = 23×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 12240 and 12248.

LCM(12240,12248) = 24×32×51×171×15311
LCM(12240,12248) = 18739440

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

Factors of 12248

List of positive integer factors of 12248 that divides 12248 without a remainder.

1, 2, 4, 8, 1531, 3062, 6124, 12248

Least Common Multiple of 12240 and 12248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12240 and 12248, than apply into the LCM equation.

GCF(12240,12248) = 8
LCM(12240,12248) = ( 12240 × 12248) / 8
LCM(12240,12248) = 149915520 / 8
LCM(12240,12248) = 18739440

Properties of LCM 12240 and 12248

(i) The LCM of 12248 and 12240 is associative

LCM of 12240 and 12248 = LCM of 12248 and 12240

Related Least Common Multiples of 12240

Related Least Common Multiples of 12248

Frequently Asked Questions on LCM of 12240 and 12248

1. What is the LCM of 12240 and 12248?

Answer: LCM of 12240 and 12248 is 18739440.

2. 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.

3. What are the Factors of 12248?

Answer: Factors of 12248 are 1, 2, 4, 8, 1531, 3062, 6124, 12248. There are 8 integers that are factors of 12248. The greatest factor of 12248 is 12248.

4. How to Find the LCM of 12240 and 12248?

Answer:

Least Common Multiple of 12240 and 12248 = 18739440

Step 1: Find the prime factorization of 12240

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

Step 2: Find the prime factorization of 12248

12248 = 2 x 2 x 2 x 1531

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

LCM = 18739440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 1531

Step 4: Therefore, the least common multiple of 12240 and 12248 is 18739440.