Least Common Multiple of 2164 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 2164 and 2167 the smallest integer that is 4689388 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2167 is 4689388.

LCM(2164,2167) = 4689388

LCM of 2164 and 2167

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

LCM of:
and

Least Common Multiple of 2164 and 2167

LCM of 2164 and 2167 is 4689388

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2167. First we will calculate the prime factors of 2164 and 2167.

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

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 2164 and 2167.

LCM(2164,2167) = 22×111×1971×5411
LCM(2164,2167) = 4689388

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

Factors of 2167

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

1, 11, 197, 2167

Least Common Multiple of 2164 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 2164 and 2167, than apply into the LCM equation.

GCF(2164,2167) = 1
LCM(2164,2167) = ( 2164 × 2167) / 1
LCM(2164,2167) = 4689388 / 1
LCM(2164,2167) = 4689388

Properties of LCM 2164 and 2167

(i) The LCM of 2167 and 2164 is associative

LCM of 2164 and 2167 = LCM of 2167 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2167

Frequently Asked Questions on LCM of 2164 and 2167

1. What is the LCM of 2164 and 2167?

Answer: LCM of 2164 and 2167 is 4689388.

2. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

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 2164 and 2167?

Answer:

Least Common Multiple of 2164 and 2167 = 4689388

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

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 = 4689388 = 2 x 2 x 11 x 197 x 541

Step 4: Therefore, the least common multiple of 2164 and 2167 is 4689388.