Least Common Multiple of 2161 and 2169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2161 and 2169 the smallest integer that is 4687209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2161 and 2169 is 4687209.

LCM(2161,2169) = 4687209

LCM of 2161 and 2169

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

LCM of:
and

Least Common Multiple of 2161 and 2169

LCM of 2161 and 2169 is 4687209

Least common multiple can be found by multiplying the highest exponent prime factors of 2161 and 2169. First we will calculate the prime factors of 2161 and 2169.

Prime Factorization of 2161


2161 2161
1

Prime factors of 2161 are 2161. Prime factorization of 2161 in exponential form is:

2161 = 21611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2161 and 2169.

LCM(2161,2169) = 32×2411×21611
LCM(2161,2169) = 4687209

Factors of 2161

List of positive integer factors of 2161 that divides 2161 without a remainder.

1, 2161

Factors of 2169

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

1, 3, 9, 241, 723, 2169

Least Common Multiple of 2161 and 2169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2161 and 2169, than apply into the LCM equation.

GCF(2161,2169) = 1
LCM(2161,2169) = ( 2161 × 2169) / 1
LCM(2161,2169) = 4687209 / 1
LCM(2161,2169) = 4687209

Properties of LCM 2161 and 2169

(i) The LCM of 2169 and 2161 is associative

LCM of 2161 and 2169 = LCM of 2169 and 2161

Related Least Common Multiples of 2161

Related Least Common Multiples of 2169

Frequently Asked Questions on LCM of 2161 and 2169

1. What is the LCM of 2161 and 2169?

Answer: LCM of 2161 and 2169 is 4687209.

2. What are the Factors of 2161?

Answer: Factors of 2161 are 1, 2161. There are 2 integers that are factors of 2161. The greatest factor of 2161 is 2161.

3. 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.

4. How to Find the LCM of 2161 and 2169?

Answer:

Least Common Multiple of 2161 and 2169 = 4687209

Step 1: Find the prime factorization of 2161

2161 = 2161

Step 2: Find the prime factorization of 2169

2169 = 3 x 3 x 241

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

LCM = 4687209 = 3 x 3 x 241 x 2161

Step 4: Therefore, the least common multiple of 2161 and 2169 is 4687209.