Least Common Multiple of 12236 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 12236 and 12240 the smallest integer that is 37442160 that is divisible by both numbers.

Least Common Multiple (LCM) of 12236 and 12240 is 37442160.

LCM(12236,12240) = 37442160

LCM of 12236 and 12240

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

LCM of:
and

Least Common Multiple of 12236 and 12240

LCM of 12236 and 12240 is 37442160

Least common multiple can be found by multiplying the highest exponent prime factors of 12236 and 12240. First we will calculate the prime factors of 12236 and 12240.

Prime Factorization of 12236


2 12236
2 6118
7 3059
19 437
23 23
1

Prime factors of 12236 are 2, 7, 19,23. Prime factorization of 12236 in exponential form is:

12236 = 22×71×191×231

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 12236 and 12240.

LCM(12236,12240) = 24×32×51×71×171×191×231
LCM(12236,12240) = 37442160

Factors of 12236

List of positive integer factors of 12236 that divides 12236 without a remainder.

1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 76, 92, 133, 161, 266, 322, 437, 532, 644, 874, 1748, 3059, 6118, 12236

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 12236 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 12236 and 12240, than apply into the LCM equation.

GCF(12236,12240) = 4
LCM(12236,12240) = ( 12236 × 12240) / 4
LCM(12236,12240) = 149768640 / 4
LCM(12236,12240) = 37442160

Properties of LCM 12236 and 12240

(i) The LCM of 12240 and 12236 is associative

LCM of 12236 and 12240 = LCM of 12240 and 12236

Related Least Common Multiples of 12236

Related Least Common Multiples of 12240

Frequently Asked Questions on LCM of 12236 and 12240

1. What is the LCM of 12236 and 12240?

Answer: LCM of 12236 and 12240 is 37442160.

2. What are the Factors of 12236?

Answer: Factors of 12236 are 1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 76, 92, 133, 161, 266, 322, 437, 532, 644, 874, 1748, 3059, 6118, 12236. There are 24 integers that are factors of 12236. The greatest factor of 12236 is 12236.

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 12236 and 12240?

Answer:

Least Common Multiple of 12236 and 12240 = 37442160

Step 1: Find the prime factorization of 12236

12236 = 2 x 2 x 7 x 19 x 23

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 = 37442160 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 12236 and 12240 is 37442160.