Least Common Multiple of 2168 and 2175

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 2175 the smallest integer that is 4715400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2168 and 2175 is 4715400.

LCM(2168,2175) = 4715400

LCM of 2168 and 2175

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

LCM of:
and

Least Common Multiple of 2168 and 2175

LCM of 2168 and 2175 is 4715400

Least common multiple can be found by multiplying the highest exponent prime factors of 2168 and 2175. First we will calculate the prime factors of 2168 and 2175.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2168 and 2175.

LCM(2168,2175) = 23×31×52×291×2711
LCM(2168,2175) = 4715400

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 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

Least Common Multiple of 2168 and 2175 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 2175, than apply into the LCM equation.

GCF(2168,2175) = 1
LCM(2168,2175) = ( 2168 × 2175) / 1
LCM(2168,2175) = 4715400 / 1
LCM(2168,2175) = 4715400

Properties of LCM 2168 and 2175

(i) The LCM of 2175 and 2168 is associative

LCM of 2168 and 2175 = LCM of 2175 and 2168

Related Least Common Multiples of 2168

Related Least Common Multiples of 2175

Frequently Asked Questions on LCM of 2168 and 2175

1. What is the LCM of 2168 and 2175?

Answer: LCM of 2168 and 2175 is 4715400.

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 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.

4. How to Find the LCM of 2168 and 2175?

Answer:

Least Common Multiple of 2168 and 2175 = 4715400

Step 1: Find the prime factorization of 2168

2168 = 2 x 2 x 2 x 271

Step 2: Find the prime factorization of 2175

2175 = 3 x 5 x 5 x 29

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

LCM = 4715400 = 2 x 2 x 2 x 3 x 5 x 5 x 29 x 271

Step 4: Therefore, the least common multiple of 2168 and 2175 is 4715400.