Least Common Multiple of 2168 and 2170

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 2170 the smallest integer that is 2352280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2168 and 2170 is 2352280.

LCM(2168,2170) = 2352280

LCM of 2168 and 2170

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

LCM of:
and

Least Common Multiple of 2168 and 2170

LCM of 2168 and 2170 is 2352280

Least common multiple can be found by multiplying the highest exponent prime factors of 2168 and 2170. First we will calculate the prime factors of 2168 and 2170.

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 2170


2 2170
5 1085
7 217
31 31
1

Prime factors of 2170 are 2, 5, 7,31. Prime factorization of 2170 in exponential form is:

2170 = 21×51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2168 and 2170.

LCM(2168,2170) = 23×51×71×311×2711
LCM(2168,2170) = 2352280

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 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170

Least Common Multiple of 2168 and 2170 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 2170, than apply into the LCM equation.

GCF(2168,2170) = 2
LCM(2168,2170) = ( 2168 × 2170) / 2
LCM(2168,2170) = 4704560 / 2
LCM(2168,2170) = 2352280

Properties of LCM 2168 and 2170

(i) The LCM of 2170 and 2168 is associative

LCM of 2168 and 2170 = LCM of 2170 and 2168

Related Least Common Multiples of 2168

Related Least Common Multiples of 2170

Frequently Asked Questions on LCM of 2168 and 2170

1. What is the LCM of 2168 and 2170?

Answer: LCM of 2168 and 2170 is 2352280.

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 2170?

Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.

4. How to Find the LCM of 2168 and 2170?

Answer:

Least Common Multiple of 2168 and 2170 = 2352280

Step 1: Find the prime factorization of 2168

2168 = 2 x 2 x 2 x 271

Step 2: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

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

LCM = 2352280 = 2 x 2 x 2 x 5 x 7 x 31 x 271

Step 4: Therefore, the least common multiple of 2168 and 2170 is 2352280.