Least Common Multiple of 10100 and 10107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10100 and 10107 the smallest integer that is 102080700 that is divisible by both numbers.

Least Common Multiple (LCM) of 10100 and 10107 is 102080700.

LCM(10100,10107) = 102080700

LCM of 10100 and 10107

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

LCM of:
and

Least Common Multiple of 10100 and 10107

LCM of 10100 and 10107 is 102080700

Least common multiple can be found by multiplying the highest exponent prime factors of 10100 and 10107. First we will calculate the prime factors of 10100 and 10107.

Prime Factorization of 10100


2 10100
2 5050
5 2525
5 505
101 101
1

Prime factors of 10100 are 2, 5,101. Prime factorization of 10100 in exponential form is:

10100 = 22×52×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10100 and 10107.

LCM(10100,10107) = 22×32×52×1011×11231
LCM(10100,10107) = 102080700

Factors of 10100

List of positive integer factors of 10100 that divides 10100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050, 10100

Factors of 10107

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

1, 3, 9, 1123, 3369, 10107

Least Common Multiple of 10100 and 10107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10100 and 10107, than apply into the LCM equation.

GCF(10100,10107) = 1
LCM(10100,10107) = ( 10100 × 10107) / 1
LCM(10100,10107) = 102080700 / 1
LCM(10100,10107) = 102080700

Properties of LCM 10100 and 10107

(i) The LCM of 10107 and 10100 is associative

LCM of 10100 and 10107 = LCM of 10107 and 10100

Related Least Common Multiples of 10100

Related Least Common Multiples of 10107

Frequently Asked Questions on LCM of 10100 and 10107

1. What is the LCM of 10100 and 10107?

Answer: LCM of 10100 and 10107 is 102080700.

2. What are the Factors of 10100?

Answer: Factors of 10100 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050, 10100. There are 18 integers that are factors of 10100. The greatest factor of 10100 is 10100.

3. 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.

4. How to Find the LCM of 10100 and 10107?

Answer:

Least Common Multiple of 10100 and 10107 = 102080700

Step 1: Find the prime factorization of 10100

10100 = 2 x 2 x 5 x 5 x 101

Step 2: Find the prime factorization of 10107

10107 = 3 x 3 x 1123

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

LCM = 102080700 = 2 x 2 x 3 x 3 x 5 x 5 x 101 x 1123

Step 4: Therefore, the least common multiple of 10100 and 10107 is 102080700.