Least Common Multiple of 7173 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 7173 and 7177 the smallest integer that is 51480621 that is divisible by both numbers.

Least Common Multiple (LCM) of 7173 and 7177 is 51480621.

LCM(7173,7177) = 51480621

LCM of 7173 and 7177

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

LCM of:
and

Least Common Multiple of 7173 and 7177

LCM of 7173 and 7177 is 51480621

Least common multiple can be found by multiplying the highest exponent prime factors of 7173 and 7177. First we will calculate the prime factors of 7173 and 7177.

Prime Factorization of 7173


3 7173
3 2391
797 797
1

Prime factors of 7173 are 3,797. Prime factorization of 7173 in exponential form is:

7173 = 32×7971

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 7173 and 7177.

LCM(7173,7177) = 32×7971×71771
LCM(7173,7177) = 51480621

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1, 3, 9, 797, 2391, 7173

Factors of 7177

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

1, 7177

Least Common Multiple of 7173 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 7173 and 7177, than apply into the LCM equation.

GCF(7173,7177) = 1
LCM(7173,7177) = ( 7173 × 7177) / 1
LCM(7173,7177) = 51480621 / 1
LCM(7173,7177) = 51480621

Properties of LCM 7173 and 7177

(i) The LCM of 7177 and 7173 is associative

LCM of 7173 and 7177 = LCM of 7177 and 7173

Related Least Common Multiples of 7173

Related Least Common Multiples of 7177

Frequently Asked Questions on LCM of 7173 and 7177

1. What is the LCM of 7173 and 7177?

Answer: LCM of 7173 and 7177 is 51480621.

2. What are the Factors of 7173?

Answer: Factors of 7173 are 1, 3, 9, 797, 2391, 7173. There are 6 integers that are factors of 7173. The greatest factor of 7173 is 7173.

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 7173 and 7177?

Answer:

Least Common Multiple of 7173 and 7177 = 51480621

Step 1: Find the prime factorization of 7173

7173 = 3 x 3 x 797

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 = 51480621 = 3 x 3 x 797 x 7177

Step 4: Therefore, the least common multiple of 7173 and 7177 is 51480621.