Least Common Multiple of 7176 and 7184

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 7184 the smallest integer that is 6444048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7176 and 7184 is 6444048.

LCM(7176,7184) = 6444048

LCM of 7176 and 7184

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

LCM of:
and

Least Common Multiple of 7176 and 7184

LCM of 7176 and 7184 is 6444048

Least common multiple can be found by multiplying the highest exponent prime factors of 7176 and 7184. First we will calculate the prime factors of 7176 and 7184.

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 7184


2 7184
2 3592
2 1796
2 898
449 449
1

Prime factors of 7184 are 2,449. Prime factorization of 7184 in exponential form is:

7184 = 24×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 7176 and 7184.

LCM(7176,7184) = 24×31×131×231×4491
LCM(7176,7184) = 6444048

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 7184

List of positive integer factors of 7184 that divides 7184 without a remainder.

1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184

Least Common Multiple of 7176 and 7184 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 7184, than apply into the LCM equation.

GCF(7176,7184) = 8
LCM(7176,7184) = ( 7176 × 7184) / 8
LCM(7176,7184) = 51552384 / 8
LCM(7176,7184) = 6444048

Properties of LCM 7176 and 7184

(i) The LCM of 7184 and 7176 is associative

LCM of 7176 and 7184 = LCM of 7184 and 7176

Related Least Common Multiples of 7176

Related Least Common Multiples of 7184

Frequently Asked Questions on LCM of 7176 and 7184

1. What is the LCM of 7176 and 7184?

Answer: LCM of 7176 and 7184 is 6444048.

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 7184?

Answer: Factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184. There are 10 integers that are factors of 7184. The greatest factor of 7184 is 7184.

4. How to Find the LCM of 7176 and 7184?

Answer:

Least Common Multiple of 7176 and 7184 = 6444048

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 7184

7184 = 2 x 2 x 2 x 2 x 449

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

LCM = 6444048 = 2 x 2 x 2 x 2 x 3 x 13 x 23 x 449

Step 4: Therefore, the least common multiple of 7176 and 7184 is 6444048.