Least Common Multiple of 10091 and 10097

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 10097 the smallest integer that is 101888827 that is divisible by both numbers.

Least Common Multiple (LCM) of 10091 and 10097 is 101888827.

LCM(10091,10097) = 101888827

LCM of 10091 and 10097

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

LCM of:
and

Least Common Multiple of 10091 and 10097

LCM of 10091 and 10097 is 101888827

Least common multiple can be found by multiplying the highest exponent prime factors of 10091 and 10097. First we will calculate the prime factors of 10091 and 10097.

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 10097


23 10097
439 439
1

Prime factors of 10097 are 23,439. Prime factorization of 10097 in exponential form is:

10097 = 231×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 10091 and 10097.

LCM(10091,10097) = 231×4391×100911
LCM(10091,10097) = 101888827

Factors of 10091

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

1, 10091

Factors of 10097

List of positive integer factors of 10097 that divides 10097 without a remainder.

1, 23, 439, 10097

Least Common Multiple of 10091 and 10097 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 10097, than apply into the LCM equation.

GCF(10091,10097) = 1
LCM(10091,10097) = ( 10091 × 10097) / 1
LCM(10091,10097) = 101888827 / 1
LCM(10091,10097) = 101888827

Properties of LCM 10091 and 10097

(i) The LCM of 10097 and 10091 is associative

LCM of 10091 and 10097 = LCM of 10097 and 10091

Related Least Common Multiples of 10091

Related Least Common Multiples of 10097

Frequently Asked Questions on LCM of 10091 and 10097

1. What is the LCM of 10091 and 10097?

Answer: LCM of 10091 and 10097 is 101888827.

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 10097?

Answer: Factors of 10097 are 1, 23, 439, 10097. There are 4 integers that are factors of 10097. The greatest factor of 10097 is 10097.

4. How to Find the LCM of 10091 and 10097?

Answer:

Least Common Multiple of 10091 and 10097 = 101888827

Step 1: Find the prime factorization of 10091

10091 = 10091

Step 2: Find the prime factorization of 10097

10097 = 23 x 439

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

LCM = 101888827 = 23 x 439 x 10091

Step 4: Therefore, the least common multiple of 10091 and 10097 is 101888827.