Least Common Multiple of 10096 and 10103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10096 and 10103 the smallest integer that is 101999888 that is divisible by both numbers.

Least Common Multiple (LCM) of 10096 and 10103 is 101999888.

LCM(10096,10103) = 101999888

LCM of 10096 and 10103

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

LCM of:
and

Least Common Multiple of 10096 and 10103

LCM of 10096 and 10103 is 101999888

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10103. First we will calculate the prime factors of 10096 and 10103.

Prime Factorization of 10096


2 10096
2 5048
2 2524
2 1262
631 631
1

Prime factors of 10096 are 2,631. Prime factorization of 10096 in exponential form is:

10096 = 24×6311

Prime Factorization of 10103


10103 10103
1

Prime factors of 10103 are 10103. Prime factorization of 10103 in exponential form is:

10103 = 101031

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10103.

LCM(10096,10103) = 24×6311×101031
LCM(10096,10103) = 101999888

Factors of 10096

List of positive integer factors of 10096 that divides 10096 without a remainder.

1, 2, 4, 8, 16, 631, 1262, 2524, 5048, 10096

Factors of 10103

List of positive integer factors of 10103 that divides 10103 without a remainder.

1, 10103

Least Common Multiple of 10096 and 10103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10096 and 10103, than apply into the LCM equation.

GCF(10096,10103) = 1
LCM(10096,10103) = ( 10096 × 10103) / 1
LCM(10096,10103) = 101999888 / 1
LCM(10096,10103) = 101999888

Properties of LCM 10096 and 10103

(i) The LCM of 10103 and 10096 is associative

LCM of 10096 and 10103 = LCM of 10103 and 10096

Related Least Common Multiples of 10096

Related Least Common Multiples of 10103

Frequently Asked Questions on LCM of 10096 and 10103

1. What is the LCM of 10096 and 10103?

Answer: LCM of 10096 and 10103 is 101999888.

2. What are the Factors of 10096?

Answer: Factors of 10096 are 1, 2, 4, 8, 16, 631, 1262, 2524, 5048, 10096. There are 10 integers that are factors of 10096. The greatest factor of 10096 is 10096.

3. What are the Factors of 10103?

Answer: Factors of 10103 are 1, 10103. There are 2 integers that are factors of 10103. The greatest factor of 10103 is 10103.

4. How to Find the LCM of 10096 and 10103?

Answer:

Least Common Multiple of 10096 and 10103 = 101999888

Step 1: Find the prime factorization of 10096

10096 = 2 x 2 x 2 x 2 x 631

Step 2: Find the prime factorization of 10103

10103 = 10103

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

LCM = 101999888 = 2 x 2 x 2 x 2 x 631 x 10103

Step 4: Therefore, the least common multiple of 10096 and 10103 is 101999888.