Least Common Multiple of 7176 and 7183

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 7183 the smallest integer that is 51545208 that is divisible by both numbers.

Least Common Multiple (LCM) of 7176 and 7183 is 51545208.

LCM(7176,7183) = 51545208

LCM of 7176 and 7183

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

LCM of:
and

Least Common Multiple of 7176 and 7183

LCM of 7176 and 7183 is 51545208

Least common multiple can be found by multiplying the highest exponent prime factors of 7176 and 7183. First we will calculate the prime factors of 7176 and 7183.

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 7183


11 7183
653 653
1

Prime factors of 7183 are 11,653. Prime factorization of 7183 in exponential form is:

7183 = 111×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 7176 and 7183.

LCM(7176,7183) = 23×31×111×131×231×6531
LCM(7176,7183) = 51545208

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 7183

List of positive integer factors of 7183 that divides 7183 without a remainder.

1, 11, 653, 7183

Least Common Multiple of 7176 and 7183 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 7183, than apply into the LCM equation.

GCF(7176,7183) = 1
LCM(7176,7183) = ( 7176 × 7183) / 1
LCM(7176,7183) = 51545208 / 1
LCM(7176,7183) = 51545208

Properties of LCM 7176 and 7183

(i) The LCM of 7183 and 7176 is associative

LCM of 7176 and 7183 = LCM of 7183 and 7176

Related Least Common Multiples of 7176

Related Least Common Multiples of 7183

Frequently Asked Questions on LCM of 7176 and 7183

1. What is the LCM of 7176 and 7183?

Answer: LCM of 7176 and 7183 is 51545208.

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 7183?

Answer: Factors of 7183 are 1, 11, 653, 7183. There are 4 integers that are factors of 7183. The greatest factor of 7183 is 7183.

4. How to Find the LCM of 7176 and 7183?

Answer:

Least Common Multiple of 7176 and 7183 = 51545208

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 7183

7183 = 11 x 653

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

LCM = 51545208 = 2 x 2 x 2 x 3 x 11 x 13 x 23 x 653

Step 4: Therefore, the least common multiple of 7176 and 7183 is 51545208.