Least Common Multiple of 4100 and 4107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4100 and 4107 the smallest integer that is 16838700 that is divisible by both numbers.

Least Common Multiple (LCM) of 4100 and 4107 is 16838700.

LCM(4100,4107) = 16838700

LCM of 4100 and 4107

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

LCM of:
and

Least Common Multiple of 4100 and 4107

LCM of 4100 and 4107 is 16838700

Least common multiple can be found by multiplying the highest exponent prime factors of 4100 and 4107. First we will calculate the prime factors of 4100 and 4107.

Prime Factorization of 4100


2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 4100 are 2, 5,41. Prime factorization of 4100 in exponential form is:

4100 = 22×52×411

Prime Factorization of 4107


3 4107
37 1369
37 37
1

Prime factors of 4107 are 3,37. Prime factorization of 4107 in exponential form is:

4107 = 31×372

Now multiplying the highest exponent prime factors to calculate the LCM of 4100 and 4107.

LCM(4100,4107) = 22×31×52×372×411
LCM(4100,4107) = 16838700

Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

Factors of 4107

List of positive integer factors of 4107 that divides 4107 without a remainder.

1, 3, 37, 111, 1369, 4107

Least Common Multiple of 4100 and 4107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4100 and 4107, than apply into the LCM equation.

GCF(4100,4107) = 1
LCM(4100,4107) = ( 4100 × 4107) / 1
LCM(4100,4107) = 16838700 / 1
LCM(4100,4107) = 16838700

Properties of LCM 4100 and 4107

(i) The LCM of 4107 and 4100 is associative

LCM of 4100 and 4107 = LCM of 4107 and 4100

Related Least Common Multiples of 4100

Related Least Common Multiples of 4107

Frequently Asked Questions on LCM of 4100 and 4107

1. What is the LCM of 4100 and 4107?

Answer: LCM of 4100 and 4107 is 16838700.

2. What are the Factors of 4100?

Answer: Factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100. There are 18 integers that are factors of 4100. The greatest factor of 4100 is 4100.

3. What are the Factors of 4107?

Answer: Factors of 4107 are 1, 3, 37, 111, 1369, 4107. There are 6 integers that are factors of 4107. The greatest factor of 4107 is 4107.

4. How to Find the LCM of 4100 and 4107?

Answer:

Least Common Multiple of 4100 and 4107 = 16838700

Step 1: Find the prime factorization of 4100

4100 = 2 x 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 4107

4107 = 3 x 37 x 37

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

LCM = 16838700 = 2 x 2 x 3 x 5 x 5 x 37 x 37 x 41

Step 4: Therefore, the least common multiple of 4100 and 4107 is 16838700.