Least Common Multiple of 2168 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 2168 and 2176 the smallest integer that is 589696 that is divisible by both numbers.

Least Common Multiple (LCM) of 2168 and 2176 is 589696.

LCM(2168,2176) = 589696

LCM of 2168 and 2176

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

LCM of:
and

Least Common Multiple of 2168 and 2176

LCM of 2168 and 2176 is 589696

Least common multiple can be found by multiplying the highest exponent prime factors of 2168 and 2176. First we will calculate the prime factors of 2168 and 2176.

Prime Factorization of 2168


2 2168
2 1084
2 542
271 271
1

Prime factors of 2168 are 2,271. Prime factorization of 2168 in exponential form is:

2168 = 23×2711

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 2168 and 2176.

LCM(2168,2176) = 27×171×2711
LCM(2168,2176) = 589696

Factors of 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1, 2, 4, 8, 271, 542, 1084, 2168

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 2168 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 2168 and 2176, than apply into the LCM equation.

GCF(2168,2176) = 8
LCM(2168,2176) = ( 2168 × 2176) / 8
LCM(2168,2176) = 4717568 / 8
LCM(2168,2176) = 589696

Properties of LCM 2168 and 2176

(i) The LCM of 2176 and 2168 is associative

LCM of 2168 and 2176 = LCM of 2176 and 2168

Related Least Common Multiples of 2168

Related Least Common Multiples of 2176

Frequently Asked Questions on LCM of 2168 and 2176

1. What is the LCM of 2168 and 2176?

Answer: LCM of 2168 and 2176 is 589696.

2. What are the Factors of 2168?

Answer: Factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168. There are 8 integers that are factors of 2168. The greatest factor of 2168 is 2168.

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 2168 and 2176?

Answer:

Least Common Multiple of 2168 and 2176 = 589696

Step 1: Find the prime factorization of 2168

2168 = 2 x 2 x 2 x 271

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 = 589696 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 271

Step 4: Therefore, the least common multiple of 2168 and 2176 is 589696.