Least Common Multiple of 7177 and 7185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 7177 and 7185 the smallest integer that is 51566745 that is divisible by both numbers.

Least Common Multiple (LCM) of 7177 and 7185 is 51566745.

LCM(7177,7185) = 51566745

LCM of 7177 and 7185

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

LCM of:
and

Least Common Multiple of 7177 and 7185

LCM of 7177 and 7185 is 51566745

Least common multiple can be found by multiplying the highest exponent prime factors of 7177 and 7185. First we will calculate the prime factors of 7177 and 7185.

Prime Factorization of 7177


7177 7177
1

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

7177 = 71771

Prime Factorization of 7185


3 7185
5 2395
479 479
1

Prime factors of 7185 are 3, 5,479. Prime factorization of 7185 in exponential form is:

7185 = 31×51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 7177 and 7185.

LCM(7177,7185) = 31×51×4791×71771
LCM(7177,7185) = 51566745

Factors of 7177

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

1, 7177

Factors of 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1, 3, 5, 15, 479, 1437, 2395, 7185

Least Common Multiple of 7177 and 7185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7177 and 7185, than apply into the LCM equation.

GCF(7177,7185) = 1
LCM(7177,7185) = ( 7177 × 7185) / 1
LCM(7177,7185) = 51566745 / 1
LCM(7177,7185) = 51566745

Properties of LCM 7177 and 7185

(i) The LCM of 7185 and 7177 is associative

LCM of 7177 and 7185 = LCM of 7185 and 7177

Frequently Asked Questions on LCM of 7177 and 7185

1. What is the LCM of 7177 and 7185?

Answer: LCM of 7177 and 7185 is 51566745.

2. 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.

3. What are the Factors of 7185?

Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.

4. How to Find the LCM of 7177 and 7185?

Answer:

Least Common Multiple of 7177 and 7185 = 51566745

Step 1: Find the prime factorization of 7177

7177 = 7177

Step 2: Find the prime factorization of 7185

7185 = 3 x 5 x 479

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

LCM = 51566745 = 3 x 5 x 479 x 7177

Step 4: Therefore, the least common multiple of 7177 and 7185 is 51566745.