Least Common Multiple of 7170 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 7170 and 7178 the smallest integer that is 25733130 that is divisible by both numbers.

Least Common Multiple (LCM) of 7170 and 7178 is 25733130.

LCM(7170,7178) = 25733130

LCM of 7170 and 7178

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

LCM of:
and

Least Common Multiple of 7170 and 7178

LCM of 7170 and 7178 is 25733130

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7178. First we will calculate the prime factors of 7170 and 7178.

Prime Factorization of 7170


2 7170
3 3585
5 1195
239 239
1

Prime factors of 7170 are 2, 3, 5,239. Prime factorization of 7170 in exponential form is:

7170 = 21×31×51×2391

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 7170 and 7178.

LCM(7170,7178) = 21×31×51×371×971×2391
LCM(7170,7178) = 25733130

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170

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 7170 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 7170 and 7178, than apply into the LCM equation.

GCF(7170,7178) = 2
LCM(7170,7178) = ( 7170 × 7178) / 2
LCM(7170,7178) = 51466260 / 2
LCM(7170,7178) = 25733130

Properties of LCM 7170 and 7178

(i) The LCM of 7178 and 7170 is associative

LCM of 7170 and 7178 = LCM of 7178 and 7170

Related Least Common Multiples of 7170

Related Least Common Multiples of 7178

Frequently Asked Questions on LCM of 7170 and 7178

1. What is the LCM of 7170 and 7178?

Answer: LCM of 7170 and 7178 is 25733130.

2. What are the Factors of 7170?

Answer: Factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170. There are 16 integers that are factors of 7170. The greatest factor of 7170 is 7170.

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 7170 and 7178?

Answer:

Least Common Multiple of 7170 and 7178 = 25733130

Step 1: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

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 = 25733130 = 2 x 3 x 5 x 37 x 97 x 239

Step 4: Therefore, the least common multiple of 7170 and 7178 is 25733130.