Least Common Multiple of 12236 and 12241

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

• Least Common Multiple of 12236 and 12241 by Prime method
• Least Common Multiple of 12236 and 12241 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 12236 and 12241. First we will calculate the prime factors of 12236 and 12241.

Prime Factorization of 12236

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 12241

Prime factors of 12241 are 12241. Prime factorization of 12241 in exponential form is:

12241 = 12241¹

Now multiplying the highest exponent prime factors to calculate the LCM of 12236 and 12241.

LCM(12236,12241) = 2²×7¹×19¹×23¹×12241¹
LCM(12236,12241) = 149780876

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 12241

List of positive integer factors of 12241 that divides 12241 without a remainder.

1, 12241

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12236 and 12241, than apply into the LCM equation.

GCF(12236,12241) = 1
LCM(12236,12241) = ( 12236 × 12241) / 1
LCM(12236,12241) = 149780876 / 1
LCM(12236,12241) = 149780876

(i) The LCM of 12241 and 12236 is associative

LCM of 12236 and 12241 = LCM of 12241 and 12236

1. What is the LCM of 12236 and 12241?

Answer: LCM of 12236 and 12241 is 149780876.

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 12241?

Answer: Factors of 12241 are 1, 12241. There are 2 integers that are factors of 12241. The greatest factor of 12241 is 12241.

4. How to Find the LCM of 12236 and 12241?

Answer:

Least Common Multiple of 12236 and 12241 = 149780876

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 12241

12241 = 12241

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

LCM = 149780876 = 2 x 2 x 7 x 19 x 23 x 12241

Step 4: Therefore, the least common multiple of 12236 and 12241 is 149780876.