Least Common Multiple of 7094 and 7100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7094 and 7100 the smallest integer that is 25183700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7094 and 7100 is 25183700.

LCM(7094,7100) = 25183700

LCM of 7094 and 7100

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

LCM of:
and

Least Common Multiple of 7094 and 7100

LCM of 7094 and 7100 is 25183700

Least common multiple can be found by multiplying the highest exponent prime factors of 7094 and 7100. First we will calculate the prime factors of 7094 and 7100.

Prime Factorization of 7094


2 7094
3547 3547
1

Prime factors of 7094 are 2,3547. Prime factorization of 7094 in exponential form is:

7094 = 21×35471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7094 and 7100.

LCM(7094,7100) = 22×52×711×35471
LCM(7094,7100) = 25183700

Factors of 7094

List of positive integer factors of 7094 that divides 7094 without a remainder.

1, 2, 3547, 7094

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

Least Common Multiple of 7094 and 7100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7094 and 7100, than apply into the LCM equation.

GCF(7094,7100) = 2
LCM(7094,7100) = ( 7094 × 7100) / 2
LCM(7094,7100) = 50367400 / 2
LCM(7094,7100) = 25183700

Properties of LCM 7094 and 7100

(i) The LCM of 7100 and 7094 is associative

LCM of 7094 and 7100 = LCM of 7100 and 7094

Related Least Common Multiples of 7094

Related Least Common Multiples of 7100

Frequently Asked Questions on LCM of 7094 and 7100

1. What is the LCM of 7094 and 7100?

Answer: LCM of 7094 and 7100 is 25183700.

2. What are the Factors of 7094?

Answer: Factors of 7094 are 1, 2, 3547, 7094. There are 4 integers that are factors of 7094. The greatest factor of 7094 is 7094.

3. 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.

4. How to Find the LCM of 7094 and 7100?

Answer:

Least Common Multiple of 7094 and 7100 = 25183700

Step 1: Find the prime factorization of 7094

7094 = 2 x 3547

Step 2: Find the prime factorization of 7100

7100 = 2 x 2 x 5 x 5 x 71

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

LCM = 25183700 = 2 x 2 x 5 x 5 x 71 x 3547

Step 4: Therefore, the least common multiple of 7094 and 7100 is 25183700.