Least Common Multiple of 7170 and 7175

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 7175 the smallest integer that is 10288950 that is divisible by both numbers.

Least Common Multiple (LCM) of 7170 and 7175 is 10288950.

LCM(7170,7175) = 10288950

LCM of 7170 and 7175

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

LCM of:
and

Least Common Multiple of 7170 and 7175

LCM of 7170 and 7175 is 10288950

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7175. First we will calculate the prime factors of 7170 and 7175.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7170 and 7175.

LCM(7170,7175) = 21×31×52×71×411×2391
LCM(7170,7175) = 10288950

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 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

Least Common Multiple of 7170 and 7175 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 7175, than apply into the LCM equation.

GCF(7170,7175) = 5
LCM(7170,7175) = ( 7170 × 7175) / 5
LCM(7170,7175) = 51444750 / 5
LCM(7170,7175) = 10288950

Properties of LCM 7170 and 7175

(i) The LCM of 7175 and 7170 is associative

LCM of 7170 and 7175 = LCM of 7175 and 7170

Related Least Common Multiples of 7170

Related Least Common Multiples of 7175

Frequently Asked Questions on LCM of 7170 and 7175

1. What is the LCM of 7170 and 7175?

Answer: LCM of 7170 and 7175 is 10288950.

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 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.

4. How to Find the LCM of 7170 and 7175?

Answer:

Least Common Multiple of 7170 and 7175 = 10288950

Step 1: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

Step 2: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

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

LCM = 10288950 = 2 x 3 x 5 x 5 x 7 x 41 x 239

Step 4: Therefore, the least common multiple of 7170 and 7175 is 10288950.