Least Common Multiple of 10299 and 10305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10299 and 10305 the smallest integer that is 35377065 that is divisible by both numbers.

Least Common Multiple (LCM) of 10299 and 10305 is 35377065.

LCM(10299,10305) = 35377065

LCM of 10299 and 10305

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

LCM of:
and

Least Common Multiple of 10299 and 10305

LCM of 10299 and 10305 is 35377065

Least common multiple can be found by multiplying the highest exponent prime factors of 10299 and 10305. First we will calculate the prime factors of 10299 and 10305.

Prime Factorization of 10299


3 10299
3433 3433
1

Prime factors of 10299 are 3,3433. Prime factorization of 10299 in exponential form is:

10299 = 31×34331

Prime Factorization of 10305


3 10305
3 3435
5 1145
229 229
1

Prime factors of 10305 are 3, 5,229. Prime factorization of 10305 in exponential form is:

10305 = 32×51×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 10299 and 10305.

LCM(10299,10305) = 32×51×2291×34331
LCM(10299,10305) = 35377065

Factors of 10299

List of positive integer factors of 10299 that divides 10299 without a remainder.

1, 3, 3433, 10299

Factors of 10305

List of positive integer factors of 10305 that divides 10305 without a remainder.

1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435, 10305

Least Common Multiple of 10299 and 10305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10299 and 10305, than apply into the LCM equation.

GCF(10299,10305) = 3
LCM(10299,10305) = ( 10299 × 10305) / 3
LCM(10299,10305) = 106131195 / 3
LCM(10299,10305) = 35377065

Properties of LCM 10299 and 10305

(i) The LCM of 10305 and 10299 is associative

LCM of 10299 and 10305 = LCM of 10305 and 10299

Related Least Common Multiples of 10299

Related Least Common Multiples of 10305

Frequently Asked Questions on LCM of 10299 and 10305

1. What is the LCM of 10299 and 10305?

Answer: LCM of 10299 and 10305 is 35377065.

2. What are the Factors of 10299?

Answer: Factors of 10299 are 1, 3, 3433, 10299. There are 4 integers that are factors of 10299. The greatest factor of 10299 is 10299.

3. What are the Factors of 10305?

Answer: Factors of 10305 are 1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435, 10305. There are 12 integers that are factors of 10305. The greatest factor of 10305 is 10305.

4. How to Find the LCM of 10299 and 10305?

Answer:

Least Common Multiple of 10299 and 10305 = 35377065

Step 1: Find the prime factorization of 10299

10299 = 3 x 3433

Step 2: Find the prime factorization of 10305

10305 = 3 x 3 x 5 x 229

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

LCM = 35377065 = 3 x 3 x 5 x 229 x 3433

Step 4: Therefore, the least common multiple of 10299 and 10305 is 35377065.