Least Common Multiple of 7176 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 7176 and 7177 the smallest integer that is 51502152 that is divisible by both numbers.

Least Common Multiple (LCM) of 7176 and 7177 is 51502152.

LCM(7176,7177) = 51502152

LCM of 7176 and 7177

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

LCM of:
and

Least Common Multiple of 7176 and 7177

LCM of 7176 and 7177 is 51502152

Least common multiple can be found by multiplying the highest exponent prime factors of 7176 and 7177. First we will calculate the prime factors of 7176 and 7177.

Prime Factorization of 7176


2 7176
2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 7176 are 2, 3, 13,23. Prime factorization of 7176 in exponential form is:

7176 = 23×31×131×231

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 7176 and 7177.

LCM(7176,7177) = 23×31×131×231×71771
LCM(7176,7177) = 51502152

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176

Factors of 7177

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

1, 7177

Least Common Multiple of 7176 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 7176 and 7177, than apply into the LCM equation.

GCF(7176,7177) = 1
LCM(7176,7177) = ( 7176 × 7177) / 1
LCM(7176,7177) = 51502152 / 1
LCM(7176,7177) = 51502152

Properties of LCM 7176 and 7177

(i) The LCM of 7177 and 7176 is associative

LCM of 7176 and 7177 = LCM of 7177 and 7176

Related Least Common Multiples of 7176

Related Least Common Multiples of 7177

Frequently Asked Questions on LCM of 7176 and 7177

1. What is the LCM of 7176 and 7177?

Answer: LCM of 7176 and 7177 is 51502152.

2. What are the Factors of 7176?

Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.

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 7176 and 7177?

Answer:

Least Common Multiple of 7176 and 7177 = 51502152

Step 1: Find the prime factorization of 7176

7176 = 2 x 2 x 2 x 3 x 13 x 23

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 = 51502152 = 2 x 2 x 2 x 3 x 13 x 23 x 7177

Step 4: Therefore, the least common multiple of 7176 and 7177 is 51502152.