Least Common Multiple of 2161 and 2167

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 2167 the smallest integer that is 4682887 that is divisible by both numbers.

Least Common Multiple (LCM) of 2161 and 2167 is 4682887.

LCM(2161,2167) = 4682887

LCM of 2161 and 2167

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

LCM of:
and

Least Common Multiple of 2161 and 2167

LCM of 2161 and 2167 is 4682887

Least common multiple can be found by multiplying the highest exponent prime factors of 2161 and 2167. First we will calculate the prime factors of 2161 and 2167.

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 2167


11 2167
197 197
1

Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:

2167 = 111×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2161 and 2167.

LCM(2161,2167) = 111×1971×21611
LCM(2161,2167) = 4682887

Factors of 2161

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

1, 2161

Factors of 2167

List of positive integer factors of 2167 that divides 2167 without a remainder.

1, 11, 197, 2167

Least Common Multiple of 2161 and 2167 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 2167, than apply into the LCM equation.

GCF(2161,2167) = 1
LCM(2161,2167) = ( 2161 × 2167) / 1
LCM(2161,2167) = 4682887 / 1
LCM(2161,2167) = 4682887

Properties of LCM 2161 and 2167

(i) The LCM of 2167 and 2161 is associative

LCM of 2161 and 2167 = LCM of 2167 and 2161

Related Least Common Multiples of 2161

Related Least Common Multiples of 2167

Frequently Asked Questions on LCM of 2161 and 2167

1. What is the LCM of 2161 and 2167?

Answer: LCM of 2161 and 2167 is 4682887.

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 2167?

Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.

4. How to Find the LCM of 2161 and 2167?

Answer:

Least Common Multiple of 2161 and 2167 = 4682887

Step 1: Find the prime factorization of 2161

2161 = 2161

Step 2: Find the prime factorization of 2167

2167 = 11 x 197

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

LCM = 4682887 = 11 x 197 x 2161

Step 4: Therefore, the least common multiple of 2161 and 2167 is 4682887.