Least Common Multiple of 2175 and 2176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2175 and 2176 the smallest integer that is 4732800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2175 and 2176 is 4732800.

LCM(2175,2176) = 4732800

LCM of 2175 and 2176

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

LCM of:
and

Least Common Multiple of 2175 and 2176

LCM of 2175 and 2176 is 4732800

Least common multiple can be found by multiplying the highest exponent prime factors of 2175 and 2176. First we will calculate the prime factors of 2175 and 2176.

Prime Factorization of 2175


3 2175
5 725
5 145
29 29
1

Prime factors of 2175 are 3, 5,29. Prime factorization of 2175 in exponential form is:

2175 = 31×52×291

Prime Factorization of 2176


2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 2176 are 2,17. Prime factorization of 2176 in exponential form is:

2176 = 27×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2175 and 2176.

LCM(2175,2176) = 27×31×52×171×291
LCM(2175,2176) = 4732800

Factors of 2175

List of positive integer factors of 2175 that divides 2175 without a remainder.

1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175

Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176

Least Common Multiple of 2175 and 2176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2175 and 2176, than apply into the LCM equation.

GCF(2175,2176) = 1
LCM(2175,2176) = ( 2175 × 2176) / 1
LCM(2175,2176) = 4732800 / 1
LCM(2175,2176) = 4732800

Properties of LCM 2175 and 2176

(i) The LCM of 2176 and 2175 is associative

LCM of 2175 and 2176 = LCM of 2176 and 2175

Related Least Common Multiples of 2175

Related Least Common Multiples of 2176

Frequently Asked Questions on LCM of 2175 and 2176

1. What is the LCM of 2175 and 2176?

Answer: LCM of 2175 and 2176 is 4732800.

2. What are the Factors of 2175?

Answer: Factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175. There are 12 integers that are factors of 2175. The greatest factor of 2175 is 2175.

3. What are the Factors of 2176?

Answer: Factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176. There are 16 integers that are factors of 2176. The greatest factor of 2176 is 2176.

4. How to Find the LCM of 2175 and 2176?

Answer:

Least Common Multiple of 2175 and 2176 = 4732800

Step 1: Find the prime factorization of 2175

2175 = 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 2176

2176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 4732800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 2175 and 2176 is 4732800.