Least Common Multiple of 17229 and 17236

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

• Least Common Multiple of 17229 and 17236 by Prime method
• Least Common Multiple of 17229 and 17236 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17229 and 17236. First we will calculate the prime factors of 17229 and 17236.

Prime Factorization of 17229

Prime factors of 17229 are 3,5743. Prime factorization of 17229 in exponential form is:

17229 = 3¹×5743¹

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 17229 and 17236.

LCM(17229,17236) = 2²×3¹×31¹×139¹×5743¹
LCM(17229,17236) = 296959044

Factors of 17229

List of positive integer factors of 17229 that divides 17229 without a remainder.

1, 3, 5743, 17229

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 17229 and 17236, than apply into the LCM equation.

GCF(17229,17236) = 1
LCM(17229,17236) = ( 17229 × 17236) / 1
LCM(17229,17236) = 296959044 / 1
LCM(17229,17236) = 296959044

(i) The LCM of 17236 and 17229 is associative

LCM of 17229 and 17236 = LCM of 17236 and 17229

1. What is the LCM of 17229 and 17236?

Answer: LCM of 17229 and 17236 is 296959044.

2. What are the Factors of 17229?

Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.

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 17229 and 17236?

Answer:

Least Common Multiple of 17229 and 17236 = 296959044

Step 1: Find the prime factorization of 17229

17229 = 3 x 5743

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 = 296959044 = 2 x 2 x 3 x 31 x 139 x 5743

Step 4: Therefore, the least common multiple of 17229 and 17236 is 296959044.