Least Common Multiple of 10107 and 10115

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 10115 the smallest integer that is 102232305 that is divisible by both numbers.

Least Common Multiple (LCM) of 10107 and 10115 is 102232305.

LCM(10107,10115) = 102232305

LCM of 10107 and 10115

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

LCM of:
and

Least Common Multiple of 10107 and 10115

LCM of 10107 and 10115 is 102232305

Least common multiple can be found by multiplying the highest exponent prime factors of 10107 and 10115. First we will calculate the prime factors of 10107 and 10115.

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 10115


5 10115
7 2023
17 289
17 17
1

Prime factors of 10115 are 5, 7,17. Prime factorization of 10115 in exponential form is:

10115 = 51×71×172

Now multiplying the highest exponent prime factors to calculate the LCM of 10107 and 10115.

LCM(10107,10115) = 32×51×71×172×11231
LCM(10107,10115) = 102232305

Factors of 10107

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

1, 3, 9, 1123, 3369, 10107

Factors of 10115

List of positive integer factors of 10115 that divides 10115 without a remainder.

1, 5, 7, 17, 35, 85, 119, 289, 595, 1445, 2023, 10115

Least Common Multiple of 10107 and 10115 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 10115, than apply into the LCM equation.

GCF(10107,10115) = 1
LCM(10107,10115) = ( 10107 × 10115) / 1
LCM(10107,10115) = 102232305 / 1
LCM(10107,10115) = 102232305

Properties of LCM 10107 and 10115

(i) The LCM of 10115 and 10107 is associative

LCM of 10107 and 10115 = LCM of 10115 and 10107

Related Least Common Multiples of 10107

Related Least Common Multiples of 10115

Frequently Asked Questions on LCM of 10107 and 10115

1. What is the LCM of 10107 and 10115?

Answer: LCM of 10107 and 10115 is 102232305.

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 10115?

Answer: Factors of 10115 are 1, 5, 7, 17, 35, 85, 119, 289, 595, 1445, 2023, 10115. There are 12 integers that are factors of 10115. The greatest factor of 10115 is 10115.

4. How to Find the LCM of 10107 and 10115?

Answer:

Least Common Multiple of 10107 and 10115 = 102232305

Step 1: Find the prime factorization of 10107

10107 = 3 x 3 x 1123

Step 2: Find the prime factorization of 10115

10115 = 5 x 7 x 17 x 17

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

LCM = 102232305 = 3 x 3 x 5 x 7 x 17 x 17 x 1123

Step 4: Therefore, the least common multiple of 10107 and 10115 is 102232305.