Least Common Multiple of 10091 and 10096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10091 and 10096 the smallest integer that is 101878736 that is divisible by both numbers.

Least Common Multiple (LCM) of 10091 and 10096 is 101878736.

LCM(10091,10096) = 101878736

LCM of 10091 and 10096

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

LCM of:
and

Least Common Multiple of 10091 and 10096

LCM of 10091 and 10096 is 101878736

Least common multiple can be found by multiplying the highest exponent prime factors of 10091 and 10096. First we will calculate the prime factors of 10091 and 10096.

Prime Factorization of 10091


10091 10091
1

Prime factors of 10091 are 10091. Prime factorization of 10091 in exponential form is:

10091 = 100911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10091 and 10096.

LCM(10091,10096) = 24×6311×100911
LCM(10091,10096) = 101878736

Factors of 10091

List of positive integer factors of 10091 that divides 10091 without a remainder.

1, 10091

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

Least Common Multiple of 10091 and 10096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10091 and 10096, than apply into the LCM equation.

GCF(10091,10096) = 1
LCM(10091,10096) = ( 10091 × 10096) / 1
LCM(10091,10096) = 101878736 / 1
LCM(10091,10096) = 101878736

Properties of LCM 10091 and 10096

(i) The LCM of 10096 and 10091 is associative

LCM of 10091 and 10096 = LCM of 10096 and 10091

Related Least Common Multiples of 10091

Related Least Common Multiples of 10096

Frequently Asked Questions on LCM of 10091 and 10096

1. What is the LCM of 10091 and 10096?

Answer: LCM of 10091 and 10096 is 101878736.

2. What are the Factors of 10091?

Answer: Factors of 10091 are 1, 10091. There are 2 integers that are factors of 10091. The greatest factor of 10091 is 10091.

3. 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.

4. How to Find the LCM of 10091 and 10096?

Answer:

Least Common Multiple of 10091 and 10096 = 101878736

Step 1: Find the prime factorization of 10091

10091 = 10091

Step 2: Find the prime factorization of 10096

10096 = 2 x 2 x 2 x 2 x 631

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

LCM = 101878736 = 2 x 2 x 2 x 2 x 631 x 10091

Step 4: Therefore, the least common multiple of 10091 and 10096 is 101878736.