Least Common Multiple of 10107 and 10113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10107 and 10113 the smallest integer that is 34070697 that is divisible by both numbers.

Least Common Multiple (LCM) of 10107 and 10113 is 34070697.

LCM(10107,10113) = 34070697

LCM of 10107 and 10113

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

LCM of:
and

Least Common Multiple of 10107 and 10113

LCM of 10107 and 10113 is 34070697

Least common multiple can be found by multiplying the highest exponent prime factors of 10107 and 10113. First we will calculate the prime factors of 10107 and 10113.

Prime Factorization of 10107


3 10107
3 3369
1123 1123
1

Prime factors of 10107 are 3,1123. Prime factorization of 10107 in exponential form is:

10107 = 32×11231

Prime Factorization of 10113


3 10113
3371 3371
1

Prime factors of 10113 are 3,3371. Prime factorization of 10113 in exponential form is:

10113 = 31×33711

Now multiplying the highest exponent prime factors to calculate the LCM of 10107 and 10113.

LCM(10107,10113) = 32×11231×33711
LCM(10107,10113) = 34070697

Factors of 10107

List of positive integer factors of 10107 that divides 10107 without a remainder.

1, 3, 9, 1123, 3369, 10107

Factors of 10113

List of positive integer factors of 10113 that divides 10113 without a remainder.

1, 3, 3371, 10113

Least Common Multiple of 10107 and 10113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10107 and 10113, than apply into the LCM equation.

GCF(10107,10113) = 3
LCM(10107,10113) = ( 10107 × 10113) / 3
LCM(10107,10113) = 102212091 / 3
LCM(10107,10113) = 34070697

Properties of LCM 10107 and 10113

(i) The LCM of 10113 and 10107 is associative

LCM of 10107 and 10113 = LCM of 10113 and 10107

Related Least Common Multiples of 10107

Related Least Common Multiples of 10113

Frequently Asked Questions on LCM of 10107 and 10113

1. What is the LCM of 10107 and 10113?

Answer: LCM of 10107 and 10113 is 34070697.

2. What are the Factors of 10107?

Answer: Factors of 10107 are 1, 3, 9, 1123, 3369, 10107. There are 6 integers that are factors of 10107. The greatest factor of 10107 is 10107.

3. What are the Factors of 10113?

Answer: Factors of 10113 are 1, 3, 3371, 10113. There are 4 integers that are factors of 10113. The greatest factor of 10113 is 10113.

4. How to Find the LCM of 10107 and 10113?

Answer:

Least Common Multiple of 10107 and 10113 = 34070697

Step 1: Find the prime factorization of 10107

10107 = 3 x 3 x 1123

Step 2: Find the prime factorization of 10113

10113 = 3 x 3371

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

LCM = 34070697 = 3 x 3 x 1123 x 3371

Step 4: Therefore, the least common multiple of 10107 and 10113 is 34070697.