Least Common Multiple of 17233 and 17236

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

• Least Common Multiple of 17233 and 17236 by Prime method
• Least Common Multiple of 17233 and 17236 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17233 and 17236. First we will calculate the prime factors of 17233 and 17236.

Prime Factorization of 17233

Prime factors of 17233 are 19,907. Prime factorization of 17233 in exponential form is:

17233 = 19¹×907¹

Prime Factorization of 17236

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

17236 = 2²×31¹×139¹

Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17236.

LCM(17233,17236) = 2²×19¹×31¹×139¹×907¹
LCM(17233,17236) = 297027988

Factors of 17233

List of positive integer factors of 17233 that divides 17233 without a remainder.

1, 19, 907, 17233

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17233 and 17236, than apply into the LCM equation.

GCF(17233,17236) = 1
LCM(17233,17236) = ( 17233 × 17236) / 1
LCM(17233,17236) = 297027988 / 1
LCM(17233,17236) = 297027988

(i) The LCM of 17236 and 17233 is associative

LCM of 17233 and 17236 = LCM of 17236 and 17233

1. What is the LCM of 17233 and 17236?

Answer: LCM of 17233 and 17236 is 297027988.

2. What are the Factors of 17233?

Answer: Factors of 17233 are 1, 19, 907, 17233. There are 4 integers that are factors of 17233. The greatest factor of 17233 is 17233.

3. 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.

4. How to Find the LCM of 17233 and 17236?

Answer:

Least Common Multiple of 17233 and 17236 = 297027988

Step 1: Find the prime factorization of 17233

17233 = 19 x 907

Step 2: Find the prime factorization of 17236

17236 = 2 x 2 x 31 x 139

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

LCM = 297027988 = 2 x 2 x 19 x 31 x 139 x 907

Step 4: Therefore, the least common multiple of 17233 and 17236 is 297027988.