Least Common Multiple of 2176 and 2180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2176 and 2180 the smallest integer that is 1185920 that is divisible by both numbers.

Least Common Multiple (LCM) of 2176 and 2180 is 1185920.

LCM(2176,2180) = 1185920

LCM of 2176 and 2180

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

LCM of:
and

Least Common Multiple of 2176 and 2180

LCM of 2176 and 2180 is 1185920

Least common multiple can be found by multiplying the highest exponent prime factors of 2176 and 2180. First we will calculate the prime factors of 2176 and 2180.

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

Prime Factorization of 2180


2 2180
2 1090
5 545
109 109
1

Prime factors of 2180 are 2, 5,109. Prime factorization of 2180 in exponential form is:

2180 = 22×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2176 and 2180.

LCM(2176,2180) = 27×51×171×1091
LCM(2176,2180) = 1185920

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

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

Least Common Multiple of 2176 and 2180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2176 and 2180, than apply into the LCM equation.

GCF(2176,2180) = 4
LCM(2176,2180) = ( 2176 × 2180) / 4
LCM(2176,2180) = 4743680 / 4
LCM(2176,2180) = 1185920

Properties of LCM 2176 and 2180

(i) The LCM of 2180 and 2176 is associative

LCM of 2176 and 2180 = LCM of 2180 and 2176

Related Least Common Multiples of 2176

Related Least Common Multiples of 2180

Frequently Asked Questions on LCM of 2176 and 2180

1. What is the LCM of 2176 and 2180?

Answer: LCM of 2176 and 2180 is 1185920.

2. 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.

3. What are the Factors of 2180?

Answer: Factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180. There are 12 integers that are factors of 2180. The greatest factor of 2180 is 2180.

4. How to Find the LCM of 2176 and 2180?

Answer:

Least Common Multiple of 2176 and 2180 = 1185920

Step 1: Find the prime factorization of 2176

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

Step 2: Find the prime factorization of 2180

2180 = 2 x 2 x 5 x 109

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

LCM = 1185920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 109

Step 4: Therefore, the least common multiple of 2176 and 2180 is 1185920.