Least Common Multiple of 10096 and 10104

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 10104 the smallest integer that is 12751248 that is divisible by both numbers.

Least Common Multiple (LCM) of 10096 and 10104 is 12751248.

LCM(10096,10104) = 12751248

LCM of 10096 and 10104

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

LCM of:
and

Least Common Multiple of 10096 and 10104

LCM of 10096 and 10104 is 12751248

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10104. First we will calculate the prime factors of 10096 and 10104.

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 10104


2 10104
2 5052
2 2526
3 1263
421 421
1

Prime factors of 10104 are 2, 3,421. Prime factorization of 10104 in exponential form is:

10104 = 23×31×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10104.

LCM(10096,10104) = 24×31×4211×6311
LCM(10096,10104) = 12751248

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 10104

List of positive integer factors of 10104 that divides 10104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 421, 842, 1263, 1684, 2526, 3368, 5052, 10104

Least Common Multiple of 10096 and 10104 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 10104, than apply into the LCM equation.

GCF(10096,10104) = 8
LCM(10096,10104) = ( 10096 × 10104) / 8
LCM(10096,10104) = 102009984 / 8
LCM(10096,10104) = 12751248

Properties of LCM 10096 and 10104

(i) The LCM of 10104 and 10096 is associative

LCM of 10096 and 10104 = LCM of 10104 and 10096

Related Least Common Multiples of 10096

Related Least Common Multiples of 10104

Frequently Asked Questions on LCM of 10096 and 10104

1. What is the LCM of 10096 and 10104?

Answer: LCM of 10096 and 10104 is 12751248.

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 10104?

Answer: Factors of 10104 are 1, 2, 3, 4, 6, 8, 12, 24, 421, 842, 1263, 1684, 2526, 3368, 5052, 10104. There are 16 integers that are factors of 10104. The greatest factor of 10104 is 10104.

4. How to Find the LCM of 10096 and 10104?

Answer:

Least Common Multiple of 10096 and 10104 = 12751248

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 10104

10104 = 2 x 2 x 2 x 3 x 421

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

LCM = 12751248 = 2 x 2 x 2 x 2 x 3 x 421 x 631

Step 4: Therefore, the least common multiple of 10096 and 10104 is 12751248.