Least Common Multiple of 10305 and 10310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10305 and 10310 the smallest integer that is 21248910 that is divisible by both numbers.

Least Common Multiple (LCM) of 10305 and 10310 is 21248910.

LCM(10305,10310) = 21248910

LCM of 10305 and 10310

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

LCM of:
and

Least Common Multiple of 10305 and 10310

LCM of 10305 and 10310 is 21248910

Least common multiple can be found by multiplying the highest exponent prime factors of 10305 and 10310. First we will calculate the prime factors of 10305 and 10310.

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

Prime Factorization of 10310


2 10310
5 5155
1031 1031
1

Prime factors of 10310 are 2, 5,1031. Prime factorization of 10310 in exponential form is:

10310 = 21×51×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 10305 and 10310.

LCM(10305,10310) = 21×32×51×2291×10311
LCM(10305,10310) = 21248910

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

Factors of 10310

List of positive integer factors of 10310 that divides 10310 without a remainder.

1, 2, 5, 10, 1031, 2062, 5155, 10310

Least Common Multiple of 10305 and 10310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10305 and 10310, than apply into the LCM equation.

GCF(10305,10310) = 5
LCM(10305,10310) = ( 10305 × 10310) / 5
LCM(10305,10310) = 106244550 / 5
LCM(10305,10310) = 21248910

Properties of LCM 10305 and 10310

(i) The LCM of 10310 and 10305 is associative

LCM of 10305 and 10310 = LCM of 10310 and 10305

Related Least Common Multiples of 10305

Related Least Common Multiples of 10310

Frequently Asked Questions on LCM of 10305 and 10310

1. What is the LCM of 10305 and 10310?

Answer: LCM of 10305 and 10310 is 21248910.

2. 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.

3. What are the Factors of 10310?

Answer: Factors of 10310 are 1, 2, 5, 10, 1031, 2062, 5155, 10310. There are 8 integers that are factors of 10310. The greatest factor of 10310 is 10310.

4. How to Find the LCM of 10305 and 10310?

Answer:

Least Common Multiple of 10305 and 10310 = 21248910

Step 1: Find the prime factorization of 10305

10305 = 3 x 3 x 5 x 229

Step 2: Find the prime factorization of 10310

10310 = 2 x 5 x 1031

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

LCM = 21248910 = 2 x 3 x 3 x 5 x 229 x 1031

Step 4: Therefore, the least common multiple of 10305 and 10310 is 21248910.