Least Common Multiple of 10155 and 10163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 10155 and 10163 the smallest integer that is 103205265 that is divisible by both numbers.

Least Common Multiple (LCM) of 10155 and 10163 is 103205265.

LCM(10155,10163) = 103205265

LCM of 10155 and 10163

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

LCM of:
and

Least Common Multiple of 10155 and 10163

LCM of 10155 and 10163 is 103205265

Least common multiple can be found by multiplying the highest exponent prime factors of 10155 and 10163. First we will calculate the prime factors of 10155 and 10163.

Prime Factorization of 10155


3 10155
5 3385
677 677
1

Prime factors of 10155 are 3, 5,677. Prime factorization of 10155 in exponential form is:

10155 = 31×51×6771

Prime Factorization of 10163


10163 10163
1

Prime factors of 10163 are 10163. Prime factorization of 10163 in exponential form is:

10163 = 101631

Now multiplying the highest exponent prime factors to calculate the LCM of 10155 and 10163.

LCM(10155,10163) = 31×51×6771×101631
LCM(10155,10163) = 103205265

Factors of 10155

List of positive integer factors of 10155 that divides 10155 without a remainder.

1, 3, 5, 15, 677, 2031, 3385, 10155

Factors of 10163

List of positive integer factors of 10163 that divides 10163 without a remainder.

1, 10163

Least Common Multiple of 10155 and 10163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10155 and 10163, than apply into the LCM equation.

GCF(10155,10163) = 1
LCM(10155,10163) = ( 10155 × 10163) / 1
LCM(10155,10163) = 103205265 / 1
LCM(10155,10163) = 103205265

Properties of LCM 10155 and 10163

(i) The LCM of 10163 and 10155 is associative

LCM of 10155 and 10163 = LCM of 10163 and 10155

Frequently Asked Questions on LCM of 10155 and 10163

1. What is the LCM of 10155 and 10163?

Answer: LCM of 10155 and 10163 is 103205265.

2. What are the Factors of 10155?

Answer: Factors of 10155 are 1, 3, 5, 15, 677, 2031, 3385, 10155. There are 8 integers that are factors of 10155. The greatest factor of 10155 is 10155.

3. What are the Factors of 10163?

Answer: Factors of 10163 are 1, 10163. There are 2 integers that are factors of 10163. The greatest factor of 10163 is 10163.

4. How to Find the LCM of 10155 and 10163?

Answer:

Least Common Multiple of 10155 and 10163 = 103205265

Step 1: Find the prime factorization of 10155

10155 = 3 x 5 x 677

Step 2: Find the prime factorization of 10163

10163 = 10163

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

LCM = 103205265 = 3 x 5 x 677 x 10163

Step 4: Therefore, the least common multiple of 10155 and 10163 is 103205265.