Least Common Multiple of 2164 and 2166

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 2166 the smallest integer that is 2343612 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2166 is 2343612.

LCM(2164,2166) = 2343612

LCM of 2164 and 2166

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

LCM of:
and

Least Common Multiple of 2164 and 2166

LCM of 2164 and 2166 is 2343612

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2166. First we will calculate the prime factors of 2164 and 2166.

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 2166


2 2166
3 1083
19 361
19 19
1

Prime factors of 2166 are 2, 3,19. Prime factorization of 2166 in exponential form is:

2166 = 21×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2166.

LCM(2164,2166) = 22×31×192×5411
LCM(2164,2166) = 2343612

Factors of 2164

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

1, 2, 4, 541, 1082, 2164

Factors of 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166

Least Common Multiple of 2164 and 2166 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 2166, than apply into the LCM equation.

GCF(2164,2166) = 2
LCM(2164,2166) = ( 2164 × 2166) / 2
LCM(2164,2166) = 4687224 / 2
LCM(2164,2166) = 2343612

Properties of LCM 2164 and 2166

(i) The LCM of 2166 and 2164 is associative

LCM of 2164 and 2166 = LCM of 2166 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2166

Frequently Asked Questions on LCM of 2164 and 2166

1. What is the LCM of 2164 and 2166?

Answer: LCM of 2164 and 2166 is 2343612.

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 2166?

Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.

4. How to Find the LCM of 2164 and 2166?

Answer:

Least Common Multiple of 2164 and 2166 = 2343612

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2166

2166 = 2 x 3 x 19 x 19

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

LCM = 2343612 = 2 x 2 x 3 x 19 x 19 x 541

Step 4: Therefore, the least common multiple of 2164 and 2166 is 2343612.