Least Common Multiple of 7175 and 7177

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 7177 the smallest integer that is 51494975 that is divisible by both numbers.

Least Common Multiple (LCM) of 7175 and 7177 is 51494975.

LCM(7175,7177) = 51494975

LCM of 7175 and 7177

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

LCM of:
and

Least Common Multiple of 7175 and 7177

LCM of 7175 and 7177 is 51494975

Least common multiple can be found by multiplying the highest exponent prime factors of 7175 and 7177. First we will calculate the prime factors of 7175 and 7177.

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 7177


7177 7177
1

Prime factors of 7177 are 7177. Prime factorization of 7177 in exponential form is:

7177 = 71771

Now multiplying the highest exponent prime factors to calculate the LCM of 7175 and 7177.

LCM(7175,7177) = 52×71×411×71771
LCM(7175,7177) = 51494975

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 7177

List of positive integer factors of 7177 that divides 7177 without a remainder.

1, 7177

Least Common Multiple of 7175 and 7177 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 7177, than apply into the LCM equation.

GCF(7175,7177) = 1
LCM(7175,7177) = ( 7175 × 7177) / 1
LCM(7175,7177) = 51494975 / 1
LCM(7175,7177) = 51494975

Properties of LCM 7175 and 7177

(i) The LCM of 7177 and 7175 is associative

LCM of 7175 and 7177 = LCM of 7177 and 7175

Related Least Common Multiples of 7175

Related Least Common Multiples of 7177

Frequently Asked Questions on LCM of 7175 and 7177

1. What is the LCM of 7175 and 7177?

Answer: LCM of 7175 and 7177 is 51494975.

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 7177?

Answer: Factors of 7177 are 1, 7177. There are 2 integers that are factors of 7177. The greatest factor of 7177 is 7177.

4. How to Find the LCM of 7175 and 7177?

Answer:

Least Common Multiple of 7175 and 7177 = 51494975

Step 1: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

Step 2: Find the prime factorization of 7177

7177 = 7177

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

LCM = 51494975 = 5 x 5 x 7 x 41 x 7177

Step 4: Therefore, the least common multiple of 7175 and 7177 is 51494975.