Least Common Multiple of 17236 and 17243

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

• Least Common Multiple of 17236 and 17243 by Prime method
• Least Common Multiple of 17236 and 17243 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17236 and 17243. First we will calculate the prime factors of 17236 and 17243.

Prime Factorization of 17236

Prime factors of 17236 are 2, 31,139. Prime factorization of 17236 in exponential form is:

17236 = 2²×31¹×139¹

Prime Factorization of 17243

Prime factors of 17243 are 43,401. Prime factorization of 17243 in exponential form is:

17243 = 43¹×401¹

Now multiplying the highest exponent prime factors to calculate the LCM of 17236 and 17243.

LCM(17236,17243) = 2²×31¹×43¹×139¹×401¹
LCM(17236,17243) = 297200348

Factors of 17236

List of positive integer factors of 17236 that divides 17236 without a remainder.

1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236

Factors of 17243

List of positive integer factors of 17243 that divides 17243 without a remainder.

1, 43, 401, 17243

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17236 and 17243, than apply into the LCM equation.

GCF(17236,17243) = 1
LCM(17236,17243) = ( 17236 × 17243) / 1
LCM(17236,17243) = 297200348 / 1
LCM(17236,17243) = 297200348

(i) The LCM of 17243 and 17236 is associative

LCM of 17236 and 17243 = LCM of 17243 and 17236

1. What is the LCM of 17236 and 17243?

Answer: LCM of 17236 and 17243 is 297200348.

2. What are the Factors of 17236?

Answer: Factors of 17236 are 1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236. There are 12 integers that are factors of 17236. The greatest factor of 17236 is 17236.

3. What are the Factors of 17243?

Answer: Factors of 17243 are 1, 43, 401, 17243. There are 4 integers that are factors of 17243. The greatest factor of 17243 is 17243.

4. How to Find the LCM of 17236 and 17243?

Answer:

Least Common Multiple of 17236 and 17243 = 297200348

Step 1: Find the prime factorization of 17236

17236 = 2 x 2 x 31 x 139

Step 2: Find the prime factorization of 17243

17243 = 43 x 401

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

LCM = 297200348 = 2 x 2 x 31 x 43 x 139 x 401

Step 4: Therefore, the least common multiple of 17236 and 17243 is 297200348.