Least Common Multiple of 7100 and 7107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7100 and 7107 the smallest integer that is 50459700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7100 and 7107 is 50459700.

LCM(7100,7107) = 50459700

LCM of 7100 and 7107

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

LCM of:
and

Least Common Multiple of 7100 and 7107

LCM of 7100 and 7107 is 50459700

Least common multiple can be found by multiplying the highest exponent prime factors of 7100 and 7107. First we will calculate the prime factors of 7100 and 7107.

Prime Factorization of 7100


2 7100
2 3550
5 1775
5 355
71 71
1

Prime factors of 7100 are 2, 5,71. Prime factorization of 7100 in exponential form is:

7100 = 22×52×711

Prime Factorization of 7107


3 7107
23 2369
103 103
1

Prime factors of 7107 are 3, 23,103. Prime factorization of 7107 in exponential form is:

7107 = 31×231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7100 and 7107.

LCM(7100,7107) = 22×31×52×231×711×1031
LCM(7100,7107) = 50459700

Factors of 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100

Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1, 3, 23, 69, 103, 309, 2369, 7107

Least Common Multiple of 7100 and 7107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7100 and 7107, than apply into the LCM equation.

GCF(7100,7107) = 1
LCM(7100,7107) = ( 7100 × 7107) / 1
LCM(7100,7107) = 50459700 / 1
LCM(7100,7107) = 50459700

Properties of LCM 7100 and 7107

(i) The LCM of 7107 and 7100 is associative

LCM of 7100 and 7107 = LCM of 7107 and 7100

Related Least Common Multiples of 7100

Related Least Common Multiples of 7107

Frequently Asked Questions on LCM of 7100 and 7107

1. What is the LCM of 7100 and 7107?

Answer: LCM of 7100 and 7107 is 50459700.

2. What are the Factors of 7100?

Answer: Factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100. There are 18 integers that are factors of 7100. The greatest factor of 7100 is 7100.

3. What are the Factors of 7107?

Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.

4. How to Find the LCM of 7100 and 7107?

Answer:

Least Common Multiple of 7100 and 7107 = 50459700

Step 1: Find the prime factorization of 7100

7100 = 2 x 2 x 5 x 5 x 71

Step 2: Find the prime factorization of 7107

7107 = 3 x 23 x 103

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

LCM = 50459700 = 2 x 2 x 3 x 5 x 5 x 23 x 71 x 103

Step 4: Therefore, the least common multiple of 7100 and 7107 is 50459700.