Least Common Multiple of 12240 and 12246

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 12246 the smallest integer that is 24981840 that is divisible by both numbers.

Least Common Multiple (LCM) of 12240 and 12246 is 24981840.

LCM(12240,12246) = 24981840

LCM of 12240 and 12246

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

LCM of:
and

Least Common Multiple of 12240 and 12246

LCM of 12240 and 12246 is 24981840

Least common multiple can be found by multiplying the highest exponent prime factors of 12240 and 12246. First we will calculate the prime factors of 12240 and 12246.

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 12246


2 12246
3 6123
13 2041
157 157
1

Prime factors of 12246 are 2, 3, 13,157. Prime factorization of 12246 in exponential form is:

12246 = 21×31×131×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 12240 and 12246.

LCM(12240,12246) = 24×32×51×131×171×1571
LCM(12240,12246) = 24981840

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 12246

List of positive integer factors of 12246 that divides 12246 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 157, 314, 471, 942, 2041, 4082, 6123, 12246

Least Common Multiple of 12240 and 12246 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 12246, than apply into the LCM equation.

GCF(12240,12246) = 6
LCM(12240,12246) = ( 12240 × 12246) / 6
LCM(12240,12246) = 149891040 / 6
LCM(12240,12246) = 24981840

Properties of LCM 12240 and 12246

(i) The LCM of 12246 and 12240 is associative

LCM of 12240 and 12246 = LCM of 12246 and 12240

Related Least Common Multiples of 12240

Related Least Common Multiples of 12246

Frequently Asked Questions on LCM of 12240 and 12246

1. What is the LCM of 12240 and 12246?

Answer: LCM of 12240 and 12246 is 24981840.

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 12246?

Answer: Factors of 12246 are 1, 2, 3, 6, 13, 26, 39, 78, 157, 314, 471, 942, 2041, 4082, 6123, 12246. There are 16 integers that are factors of 12246. The greatest factor of 12246 is 12246.

4. How to Find the LCM of 12240 and 12246?

Answer:

Least Common Multiple of 12240 and 12246 = 24981840

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 12246

12246 = 2 x 3 x 13 x 157

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

LCM = 24981840 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 17 x 157

Step 4: Therefore, the least common multiple of 12240 and 12246 is 24981840.