Least Common Multiple of 7170 and 7176

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 7176 the smallest integer that is 8575320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7170 and 7176 is 8575320.

LCM(7170,7176) = 8575320

LCM of 7170 and 7176

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

LCM of:
and

Least Common Multiple of 7170 and 7176

LCM of 7170 and 7176 is 8575320

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7176. First we will calculate the prime factors of 7170 and 7176.

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 7176


2 7176
2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 7176 are 2, 3, 13,23. Prime factorization of 7176 in exponential form is:

7176 = 23×31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7170 and 7176.

LCM(7170,7176) = 23×31×51×131×231×2391
LCM(7170,7176) = 8575320

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 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176

Least Common Multiple of 7170 and 7176 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 7176, than apply into the LCM equation.

GCF(7170,7176) = 6
LCM(7170,7176) = ( 7170 × 7176) / 6
LCM(7170,7176) = 51451920 / 6
LCM(7170,7176) = 8575320

Properties of LCM 7170 and 7176

(i) The LCM of 7176 and 7170 is associative

LCM of 7170 and 7176 = LCM of 7176 and 7170

Related Least Common Multiples of 7170

Related Least Common Multiples of 7176

Frequently Asked Questions on LCM of 7170 and 7176

1. What is the LCM of 7170 and 7176?

Answer: LCM of 7170 and 7176 is 8575320.

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 7176?

Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.

4. How to Find the LCM of 7170 and 7176?

Answer:

Least Common Multiple of 7170 and 7176 = 8575320

Step 1: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

Step 2: Find the prime factorization of 7176

7176 = 2 x 2 x 2 x 3 x 13 x 23

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

LCM = 8575320 = 2 x 2 x 2 x 3 x 5 x 13 x 23 x 239

Step 4: Therefore, the least common multiple of 7170 and 7176 is 8575320.