Least Common Multiple of 10096 and 10100

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 10100 the smallest integer that is 25492400 that is divisible by both numbers.

Least Common Multiple (LCM) of 10096 and 10100 is 25492400.

LCM(10096,10100) = 25492400

LCM of 10096 and 10100

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

LCM of:
and

Least Common Multiple of 10096 and 10100

LCM of 10096 and 10100 is 25492400

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10100. First we will calculate the prime factors of 10096 and 10100.

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 10100


2 10100
2 5050
5 2525
5 505
101 101
1

Prime factors of 10100 are 2, 5,101. Prime factorization of 10100 in exponential form is:

10100 = 22×52×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10100.

LCM(10096,10100) = 24×52×1011×6311
LCM(10096,10100) = 25492400

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 10100

List of positive integer factors of 10100 that divides 10100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050, 10100

Least Common Multiple of 10096 and 10100 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 10100, than apply into the LCM equation.

GCF(10096,10100) = 4
LCM(10096,10100) = ( 10096 × 10100) / 4
LCM(10096,10100) = 101969600 / 4
LCM(10096,10100) = 25492400

Properties of LCM 10096 and 10100

(i) The LCM of 10100 and 10096 is associative

LCM of 10096 and 10100 = LCM of 10100 and 10096

Related Least Common Multiples of 10096

Related Least Common Multiples of 10100

Frequently Asked Questions on LCM of 10096 and 10100

1. What is the LCM of 10096 and 10100?

Answer: LCM of 10096 and 10100 is 25492400.

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 10100?

Answer: Factors of 10100 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050, 10100. There are 18 integers that are factors of 10100. The greatest factor of 10100 is 10100.

4. How to Find the LCM of 10096 and 10100?

Answer:

Least Common Multiple of 10096 and 10100 = 25492400

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 10100

10100 = 2 x 2 x 5 x 5 x 101

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

LCM = 25492400 = 2 x 2 x 2 x 2 x 5 x 5 x 101 x 631

Step 4: Therefore, the least common multiple of 10096 and 10100 is 25492400.