Least Common Multiple of 10096 and 10101

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 10101 the smallest integer that is 101979696 that is divisible by both numbers.

Least Common Multiple (LCM) of 10096 and 10101 is 101979696.

LCM(10096,10101) = 101979696

LCM of 10096 and 10101

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

LCM of:
and

Least Common Multiple of 10096 and 10101

LCM of 10096 and 10101 is 101979696

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10101. First we will calculate the prime factors of 10096 and 10101.

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 10101


3 10101
7 3367
13 481
37 37
1

Prime factors of 10101 are 3, 7, 13,37. Prime factorization of 10101 in exponential form is:

10101 = 31×71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10101.

LCM(10096,10101) = 24×31×71×131×371×6311
LCM(10096,10101) = 101979696

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 10101

List of positive integer factors of 10101 that divides 10101 without a remainder.

1, 3, 7, 13, 21, 37, 39, 91, 111, 259, 273, 481, 777, 1443, 3367, 10101

Least Common Multiple of 10096 and 10101 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 10101, than apply into the LCM equation.

GCF(10096,10101) = 1
LCM(10096,10101) = ( 10096 × 10101) / 1
LCM(10096,10101) = 101979696 / 1
LCM(10096,10101) = 101979696

Properties of LCM 10096 and 10101

(i) The LCM of 10101 and 10096 is associative

LCM of 10096 and 10101 = LCM of 10101 and 10096

Related Least Common Multiples of 10096

Related Least Common Multiples of 10101

Frequently Asked Questions on LCM of 10096 and 10101

1. What is the LCM of 10096 and 10101?

Answer: LCM of 10096 and 10101 is 101979696.

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 10101?

Answer: Factors of 10101 are 1, 3, 7, 13, 21, 37, 39, 91, 111, 259, 273, 481, 777, 1443, 3367, 10101. There are 16 integers that are factors of 10101. The greatest factor of 10101 is 10101.

4. How to Find the LCM of 10096 and 10101?

Answer:

Least Common Multiple of 10096 and 10101 = 101979696

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 10101

10101 = 3 x 7 x 13 x 37

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

LCM = 101979696 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 37 x 631

Step 4: Therefore, the least common multiple of 10096 and 10101 is 101979696.