Least Common Multiple of 7100 and 7108

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 7108 the smallest integer that is 12616700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7100 and 7108 is 12616700.

LCM(7100,7108) = 12616700

LCM of 7100 and 7108

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

LCM of:
and

Least Common Multiple of 7100 and 7108

LCM of 7100 and 7108 is 12616700

Least common multiple can be found by multiplying the highest exponent prime factors of 7100 and 7108. First we will calculate the prime factors of 7100 and 7108.

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 7108


2 7108
2 3554
1777 1777
1

Prime factors of 7108 are 2,1777. Prime factorization of 7108 in exponential form is:

7108 = 22×17771

Now multiplying the highest exponent prime factors to calculate the LCM of 7100 and 7108.

LCM(7100,7108) = 22×52×711×17771
LCM(7100,7108) = 12616700

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 7108

List of positive integer factors of 7108 that divides 7108 without a remainder.

1, 2, 4, 1777, 3554, 7108

Least Common Multiple of 7100 and 7108 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 7108, than apply into the LCM equation.

GCF(7100,7108) = 4
LCM(7100,7108) = ( 7100 × 7108) / 4
LCM(7100,7108) = 50466800 / 4
LCM(7100,7108) = 12616700

Properties of LCM 7100 and 7108

(i) The LCM of 7108 and 7100 is associative

LCM of 7100 and 7108 = LCM of 7108 and 7100

Related Least Common Multiples of 7100

Related Least Common Multiples of 7108

Frequently Asked Questions on LCM of 7100 and 7108

1. What is the LCM of 7100 and 7108?

Answer: LCM of 7100 and 7108 is 12616700.

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 7108?

Answer: Factors of 7108 are 1, 2, 4, 1777, 3554, 7108. There are 6 integers that are factors of 7108. The greatest factor of 7108 is 7108.

4. How to Find the LCM of 7100 and 7108?

Answer:

Least Common Multiple of 7100 and 7108 = 12616700

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 7108

7108 = 2 x 2 x 1777

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

LCM = 12616700 = 2 x 2 x 5 x 5 x 71 x 1777

Step 4: Therefore, the least common multiple of 7100 and 7108 is 12616700.