Least Common Multiple of 7176 and 7182

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 7182 the smallest integer that is 8589672 that is divisible by both numbers.

Least Common Multiple (LCM) of 7176 and 7182 is 8589672.

LCM(7176,7182) = 8589672

LCM of 7176 and 7182

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

LCM of:
and

Least Common Multiple of 7176 and 7182

LCM of 7176 and 7182 is 8589672

Least common multiple can be found by multiplying the highest exponent prime factors of 7176 and 7182. First we will calculate the prime factors of 7176 and 7182.

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 7182


2 7182
3 3591
3 1197
3 399
7 133
19 19
1

Prime factors of 7182 are 2, 3, 7,19. Prime factorization of 7182 in exponential form is:

7182 = 21×33×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7176 and 7182.

LCM(7176,7182) = 23×33×71×131×191×231
LCM(7176,7182) = 8589672

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 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182

Least Common Multiple of 7176 and 7182 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 7182, than apply into the LCM equation.

GCF(7176,7182) = 6
LCM(7176,7182) = ( 7176 × 7182) / 6
LCM(7176,7182) = 51538032 / 6
LCM(7176,7182) = 8589672

Properties of LCM 7176 and 7182

(i) The LCM of 7182 and 7176 is associative

LCM of 7176 and 7182 = LCM of 7182 and 7176

Frequently Asked Questions on LCM of 7176 and 7182

1. What is the LCM of 7176 and 7182?

Answer: LCM of 7176 and 7182 is 8589672.

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 7182?

Answer: Factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182. There are 32 integers that are factors of 7182. The greatest factor of 7182 is 7182.

4. How to Find the LCM of 7176 and 7182?

Answer:

Least Common Multiple of 7176 and 7182 = 8589672

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 7182

7182 = 2 x 3 x 3 x 3 x 7 x 19

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

LCM = 8589672 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 7176 and 7182 is 8589672.