Least Common Multiple of 7175 and 7179

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 7179 the smallest integer that is 51509325 that is divisible by both numbers.

Least Common Multiple (LCM) of 7175 and 7179 is 51509325.

LCM(7175,7179) = 51509325

LCM of 7175 and 7179

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

LCM of:
and

Least Common Multiple of 7175 and 7179

LCM of 7175 and 7179 is 51509325

Least common multiple can be found by multiplying the highest exponent prime factors of 7175 and 7179. First we will calculate the prime factors of 7175 and 7179.

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 7179


3 7179
2393 2393
1

Prime factors of 7179 are 3,2393. Prime factorization of 7179 in exponential form is:

7179 = 31×23931

Now multiplying the highest exponent prime factors to calculate the LCM of 7175 and 7179.

LCM(7175,7179) = 31×52×71×411×23931
LCM(7175,7179) = 51509325

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 7179

List of positive integer factors of 7179 that divides 7179 without a remainder.

1, 3, 2393, 7179

Least Common Multiple of 7175 and 7179 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 7179, than apply into the LCM equation.

GCF(7175,7179) = 1
LCM(7175,7179) = ( 7175 × 7179) / 1
LCM(7175,7179) = 51509325 / 1
LCM(7175,7179) = 51509325

Properties of LCM 7175 and 7179

(i) The LCM of 7179 and 7175 is associative

LCM of 7175 and 7179 = LCM of 7179 and 7175

Related Least Common Multiples of 7175

Related Least Common Multiples of 7179

Frequently Asked Questions on LCM of 7175 and 7179

1. What is the LCM of 7175 and 7179?

Answer: LCM of 7175 and 7179 is 51509325.

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 7179?

Answer: Factors of 7179 are 1, 3, 2393, 7179. There are 4 integers that are factors of 7179. The greatest factor of 7179 is 7179.

4. How to Find the LCM of 7175 and 7179?

Answer:

Least Common Multiple of 7175 and 7179 = 51509325

Step 1: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

Step 2: Find the prime factorization of 7179

7179 = 3 x 2393

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

LCM = 51509325 = 3 x 5 x 5 x 7 x 41 x 2393

Step 4: Therefore, the least common multiple of 7175 and 7179 is 51509325.