Least Common Multiple of 10302 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 10302 and 10305 the smallest integer that is 35387370 that is divisible by both numbers.

Least Common Multiple (LCM) of 10302 and 10305 is 35387370.

LCM(10302,10305) = 35387370

LCM of 10302 and 10305

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

LCM of:
and

Least Common Multiple of 10302 and 10305

LCM of 10302 and 10305 is 35387370

Least common multiple can be found by multiplying the highest exponent prime factors of 10302 and 10305. First we will calculate the prime factors of 10302 and 10305.

Prime Factorization of 10302


2 10302
3 5151
17 1717
101 101
1

Prime factors of 10302 are 2, 3, 17,101. Prime factorization of 10302 in exponential form is:

10302 = 21×31×171×1011

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 10302 and 10305.

LCM(10302,10305) = 21×32×51×171×1011×2291
LCM(10302,10305) = 35387370

Factors of 10302

List of positive integer factors of 10302 that divides 10302 without a remainder.

1, 2, 3, 6, 17, 34, 51, 101, 102, 202, 303, 606, 1717, 3434, 5151, 10302

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 10302 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 10302 and 10305, than apply into the LCM equation.

GCF(10302,10305) = 3
LCM(10302,10305) = ( 10302 × 10305) / 3
LCM(10302,10305) = 106162110 / 3
LCM(10302,10305) = 35387370

Properties of LCM 10302 and 10305

(i) The LCM of 10305 and 10302 is associative

LCM of 10302 and 10305 = LCM of 10305 and 10302

Related Least Common Multiples of 10302

Related Least Common Multiples of 10305

Frequently Asked Questions on LCM of 10302 and 10305

1. What is the LCM of 10302 and 10305?

Answer: LCM of 10302 and 10305 is 35387370.

2. What are the Factors of 10302?

Answer: Factors of 10302 are 1, 2, 3, 6, 17, 34, 51, 101, 102, 202, 303, 606, 1717, 3434, 5151, 10302. There are 16 integers that are factors of 10302. The greatest factor of 10302 is 10302.

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 10302 and 10305?

Answer:

Least Common Multiple of 10302 and 10305 = 35387370

Step 1: Find the prime factorization of 10302

10302 = 2 x 3 x 17 x 101

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 = 35387370 = 2 x 3 x 3 x 5 x 17 x 101 x 229

Step 4: Therefore, the least common multiple of 10302 and 10305 is 35387370.