Least Common Multiple of 7175 and 7178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7175 and 7178 the smallest integer that is 51502150 that is divisible by both numbers.

Least Common Multiple (LCM) of 7175 and 7178 is 51502150.

LCM(7175,7178) = 51502150

LCM of 7175 and 7178

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

LCM of:
and

Least Common Multiple of 7175 and 7178

LCM of 7175 and 7178 is 51502150

Least common multiple can be found by multiplying the highest exponent prime factors of 7175 and 7178. First we will calculate the prime factors of 7175 and 7178.

Prime Factorization of 7175


5 7175
5 1435
7 287
41 41
1

Prime factors of 7175 are 5, 7,41. Prime factorization of 7175 in exponential form is:

7175 = 52×71×411

Prime Factorization of 7178


2 7178
37 3589
97 97
1

Prime factors of 7178 are 2, 37,97. Prime factorization of 7178 in exponential form is:

7178 = 21×371×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7175 and 7178.

LCM(7175,7178) = 21×52×71×371×411×971
LCM(7175,7178) = 51502150

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175

Factors of 7178

List of positive integer factors of 7178 that divides 7178 without a remainder.

1, 2, 37, 74, 97, 194, 3589, 7178

Least Common Multiple of 7175 and 7178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7175 and 7178, than apply into the LCM equation.

GCF(7175,7178) = 1
LCM(7175,7178) = ( 7175 × 7178) / 1
LCM(7175,7178) = 51502150 / 1
LCM(7175,7178) = 51502150

Properties of LCM 7175 and 7178

(i) The LCM of 7178 and 7175 is associative

LCM of 7175 and 7178 = LCM of 7178 and 7175

Related Least Common Multiples of 7175

Related Least Common Multiples of 7178

Frequently Asked Questions on LCM of 7175 and 7178

1. What is the LCM of 7175 and 7178?

Answer: LCM of 7175 and 7178 is 51502150.

2. What are the Factors of 7175?

Answer: Factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175. There are 12 integers that are factors of 7175. The greatest factor of 7175 is 7175.

3. What are the Factors of 7178?

Answer: Factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178. There are 8 integers that are factors of 7178. The greatest factor of 7178 is 7178.

4. How to Find the LCM of 7175 and 7178?

Answer:

Least Common Multiple of 7175 and 7178 = 51502150

Step 1: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

Step 2: Find the prime factorization of 7178

7178 = 2 x 37 x 97

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

LCM = 51502150 = 2 x 5 x 5 x 7 x 37 x 41 x 97

Step 4: Therefore, the least common multiple of 7175 and 7178 is 51502150.