Least Common Multiple of 2169 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 2169 and 2170 the smallest integer that is 4706730 that is divisible by both numbers.

Least Common Multiple (LCM) of 2169 and 2170 is 4706730.

LCM(2169,2170) = 4706730

LCM of 2169 and 2170

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

LCM of:
and

Least Common Multiple of 2169 and 2170

LCM of 2169 and 2170 is 4706730

Least common multiple can be found by multiplying the highest exponent prime factors of 2169 and 2170. First we will calculate the prime factors of 2169 and 2170.

Prime Factorization of 2169


3 2169
3 723
241 241
1

Prime factors of 2169 are 3,241. Prime factorization of 2169 in exponential form is:

2169 = 32×2411

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 2169 and 2170.

LCM(2169,2170) = 21×32×51×71×311×2411
LCM(2169,2170) = 4706730

Factors of 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1, 3, 9, 241, 723, 2169

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 2169 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 2169 and 2170, than apply into the LCM equation.

GCF(2169,2170) = 1
LCM(2169,2170) = ( 2169 × 2170) / 1
LCM(2169,2170) = 4706730 / 1
LCM(2169,2170) = 4706730

Properties of LCM 2169 and 2170

(i) The LCM of 2170 and 2169 is associative

LCM of 2169 and 2170 = LCM of 2170 and 2169

Related Least Common Multiples of 2169

Related Least Common Multiples of 2170

Frequently Asked Questions on LCM of 2169 and 2170

1. What is the LCM of 2169 and 2170?

Answer: LCM of 2169 and 2170 is 4706730.

2. What are the Factors of 2169?

Answer: Factors of 2169 are 1, 3, 9, 241, 723, 2169. There are 6 integers that are factors of 2169. The greatest factor of 2169 is 2169.

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 2169 and 2170?

Answer:

Least Common Multiple of 2169 and 2170 = 4706730

Step 1: Find the prime factorization of 2169

2169 = 3 x 3 x 241

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 = 4706730 = 2 x 3 x 3 x 5 x 7 x 31 x 241

Step 4: Therefore, the least common multiple of 2169 and 2170 is 4706730.