Least Common Multiple of 7174 and 7180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7174 and 7180 the smallest integer that is 25754660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7174 and 7180 is 25754660.

LCM(7174,7180) = 25754660

LCM of 7174 and 7180

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

LCM of:
and

Least Common Multiple of 7174 and 7180

LCM of 7174 and 7180 is 25754660

Least common multiple can be found by multiplying the highest exponent prime factors of 7174 and 7180. First we will calculate the prime factors of 7174 and 7180.

Prime Factorization of 7174


2 7174
17 3587
211 211
1

Prime factors of 7174 are 2, 17,211. Prime factorization of 7174 in exponential form is:

7174 = 21×171×2111

Prime Factorization of 7180


2 7180
2 3590
5 1795
359 359
1

Prime factors of 7180 are 2, 5,359. Prime factorization of 7180 in exponential form is:

7180 = 22×51×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 7174 and 7180.

LCM(7174,7180) = 22×51×171×2111×3591
LCM(7174,7180) = 25754660

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1, 2, 17, 34, 211, 422, 3587, 7174

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180

Least Common Multiple of 7174 and 7180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7174 and 7180, than apply into the LCM equation.

GCF(7174,7180) = 2
LCM(7174,7180) = ( 7174 × 7180) / 2
LCM(7174,7180) = 51509320 / 2
LCM(7174,7180) = 25754660

Properties of LCM 7174 and 7180

(i) The LCM of 7180 and 7174 is associative

LCM of 7174 and 7180 = LCM of 7180 and 7174

Related Least Common Multiples of 7174

Related Least Common Multiples of 7180

Frequently Asked Questions on LCM of 7174 and 7180

1. What is the LCM of 7174 and 7180?

Answer: LCM of 7174 and 7180 is 25754660.

2. What are the Factors of 7174?

Answer: Factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174. There are 8 integers that are factors of 7174. The greatest factor of 7174 is 7174.

3. What are the Factors of 7180?

Answer: Factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180. There are 12 integers that are factors of 7180. The greatest factor of 7180 is 7180.

4. How to Find the LCM of 7174 and 7180?

Answer:

Least Common Multiple of 7174 and 7180 = 25754660

Step 1: Find the prime factorization of 7174

7174 = 2 x 17 x 211

Step 2: Find the prime factorization of 7180

7180 = 2 x 2 x 5 x 359

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

LCM = 25754660 = 2 x 2 x 5 x 17 x 211 x 359

Step 4: Therefore, the least common multiple of 7174 and 7180 is 25754660.