Least Common Multiple of 17292 and 17299

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

• Least Common Multiple of 17292 and 17299 by Prime method
• Least Common Multiple of 17292 and 17299 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17292 and 17299. First we will calculate the prime factors of 17292 and 17299.

Prime Factorization of 17292

Prime factors of 17292 are 2, 3, 11,131. Prime factorization of 17292 in exponential form is:

17292 = 2²×3¹×11¹×131¹

Prime Factorization of 17299

Prime factors of 17299 are 17299. Prime factorization of 17299 in exponential form is:

17299 = 17299¹

Now multiplying the highest exponent prime factors to calculate the LCM of 17292 and 17299.

LCM(17292,17299) = 2²×3¹×11¹×131¹×17299¹
LCM(17292,17299) = 299134308

Factors of 17292

List of positive integer factors of 17292 that divides 17292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292

Factors of 17299

List of positive integer factors of 17299 that divides 17299 without a remainder.

1, 17299

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17292 and 17299, than apply into the LCM equation.

GCF(17292,17299) = 1
LCM(17292,17299) = ( 17292 × 17299) / 1
LCM(17292,17299) = 299134308 / 1
LCM(17292,17299) = 299134308

(i) The LCM of 17299 and 17292 is associative

LCM of 17292 and 17299 = LCM of 17299 and 17292

1. What is the LCM of 17292 and 17299?

Answer: LCM of 17292 and 17299 is 299134308.

2. What are the Factors of 17292?

Answer: Factors of 17292 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292. There are 24 integers that are factors of 17292. The greatest factor of 17292 is 17292.

3. What are the Factors of 17299?

Answer: Factors of 17299 are 1, 17299. There are 2 integers that are factors of 17299. The greatest factor of 17299 is 17299.

4. How to Find the LCM of 17292 and 17299?

Answer:

Least Common Multiple of 17292 and 17299 = 299134308

Step 1: Find the prime factorization of 17292

17292 = 2 x 2 x 3 x 11 x 131

Step 2: Find the prime factorization of 17299

17299 = 17299

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

LCM = 299134308 = 2 x 2 x 3 x 11 x 131 x 17299

Step 4: Therefore, the least common multiple of 17292 and 17299 is 299134308.