Least Common Multiple of 7167 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 7167 and 7175 the smallest integer that is 51423225 that is divisible by both numbers.

Least Common Multiple (LCM) of 7167 and 7175 is 51423225.

LCM(7167,7175) = 51423225

LCM of 7167 and 7175

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

LCM of:
and

Least Common Multiple of 7167 and 7175

LCM of 7167 and 7175 is 51423225

Least common multiple can be found by multiplying the highest exponent prime factors of 7167 and 7175. First we will calculate the prime factors of 7167 and 7175.

Prime Factorization of 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

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 7167 and 7175.

LCM(7167,7175) = 31×52×71×411×23891
LCM(7167,7175) = 51423225

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1, 3, 2389, 7167

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 7167 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 7167 and 7175, than apply into the LCM equation.

GCF(7167,7175) = 1
LCM(7167,7175) = ( 7167 × 7175) / 1
LCM(7167,7175) = 51423225 / 1
LCM(7167,7175) = 51423225

Properties of LCM 7167 and 7175

(i) The LCM of 7175 and 7167 is associative

LCM of 7167 and 7175 = LCM of 7175 and 7167

Related Least Common Multiples of 7167

Related Least Common Multiples of 7175

Frequently Asked Questions on LCM of 7167 and 7175

1. What is the LCM of 7167 and 7175?

Answer: LCM of 7167 and 7175 is 51423225.

2. What are the Factors of 7167?

Answer: Factors of 7167 are 1, 3, 2389, 7167. There are 4 integers that are factors of 7167. The greatest factor of 7167 is 7167.

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 7167 and 7175?

Answer:

Least Common Multiple of 7167 and 7175 = 51423225

Step 1: Find the prime factorization of 7167

7167 = 3 x 2389

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 = 51423225 = 3 x 5 x 5 x 7 x 41 x 2389

Step 4: Therefore, the least common multiple of 7167 and 7175 is 51423225.