Least Common Multiple of 17299 and 17305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17299 and 17305 the smallest integer that is 299359195 that is divisible by both numbers.

Least Common Multiple (LCM) of 17299 and 17305 is 299359195.

LCM(17299,17305) = 299359195

LCM of 17299 and 17305

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

LCM of:
and

Least Common Multiple of 17299 and 17305

LCM of 17299 and 17305 is 299359195

Least common multiple can be found by multiplying the highest exponent prime factors of 17299 and 17305. First we will calculate the prime factors of 17299 and 17305.

Prime Factorization of 17299


17299 17299
1

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

17299 = 172991

Prime Factorization of 17305


5 17305
3461 3461
1

Prime factors of 17305 are 5,3461. Prime factorization of 17305 in exponential form is:

17305 = 51×34611

Now multiplying the highest exponent prime factors to calculate the LCM of 17299 and 17305.

LCM(17299,17305) = 51×34611×172991
LCM(17299,17305) = 299359195

Factors of 17299

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

1, 17299

Factors of 17305

List of positive integer factors of 17305 that divides 17305 without a remainder.

1, 5, 3461, 17305

Least Common Multiple of 17299 and 17305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17299 and 17305, than apply into the LCM equation.

GCF(17299,17305) = 1
LCM(17299,17305) = ( 17299 × 17305) / 1
LCM(17299,17305) = 299359195 / 1
LCM(17299,17305) = 299359195

Properties of LCM 17299 and 17305

(i) The LCM of 17305 and 17299 is associative

LCM of 17299 and 17305 = LCM of 17305 and 17299

Related Least Common Multiples of 17299

Related Least Common Multiples of 17305

Frequently Asked Questions on LCM of 17299 and 17305

1. What is the LCM of 17299 and 17305?

Answer: LCM of 17299 and 17305 is 299359195.

2. 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.

3. What are the Factors of 17305?

Answer: Factors of 17305 are 1, 5, 3461, 17305. There are 4 integers that are factors of 17305. The greatest factor of 17305 is 17305.

4. How to Find the LCM of 17299 and 17305?

Answer:

Least Common Multiple of 17299 and 17305 = 299359195

Step 1: Find the prime factorization of 17299

17299 = 17299

Step 2: Find the prime factorization of 17305

17305 = 5 x 3461

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

LCM = 299359195 = 5 x 3461 x 17299

Step 4: Therefore, the least common multiple of 17299 and 17305 is 299359195.