Least Common Multiple of 2066 and 2067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2066 and 2067 the smallest integer that is 4270422 that is divisible by both numbers.

Least Common Multiple (LCM) of 2066 and 2067 is 4270422.

LCM(2066,2067) = 4270422

LCM of 2066 and 2067

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

LCM of:
and

Least Common Multiple of 2066 and 2067

LCM of 2066 and 2067 is 4270422

Least common multiple can be found by multiplying the highest exponent prime factors of 2066 and 2067. First we will calculate the prime factors of 2066 and 2067.

Prime Factorization of 2066


2 2066
1033 1033
1

Prime factors of 2066 are 2,1033. Prime factorization of 2066 in exponential form is:

2066 = 21×10331

Prime Factorization of 2067


3 2067
13 689
53 53
1

Prime factors of 2067 are 3, 13,53. Prime factorization of 2067 in exponential form is:

2067 = 31×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2066 and 2067.

LCM(2066,2067) = 21×31×131×531×10331
LCM(2066,2067) = 4270422

Factors of 2066

List of positive integer factors of 2066 that divides 2066 without a remainder.

1, 2, 1033, 2066

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1, 3, 13, 39, 53, 159, 689, 2067

Least Common Multiple of 2066 and 2067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2066 and 2067, than apply into the LCM equation.

GCF(2066,2067) = 1
LCM(2066,2067) = ( 2066 × 2067) / 1
LCM(2066,2067) = 4270422 / 1
LCM(2066,2067) = 4270422

Properties of LCM 2066 and 2067

(i) The LCM of 2067 and 2066 is associative

LCM of 2066 and 2067 = LCM of 2067 and 2066

Related Least Common Multiples of 2066

Related Least Common Multiples of 2067

Frequently Asked Questions on LCM of 2066 and 2067

1. What is the LCM of 2066 and 2067?

Answer: LCM of 2066 and 2067 is 4270422.

2. What are the Factors of 2066?

Answer: Factors of 2066 are 1, 2, 1033, 2066. There are 4 integers that are factors of 2066. The greatest factor of 2066 is 2066.

3. What are the Factors of 2067?

Answer: Factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067. There are 8 integers that are factors of 2067. The greatest factor of 2067 is 2067.

4. How to Find the LCM of 2066 and 2067?

Answer:

Least Common Multiple of 2066 and 2067 = 4270422

Step 1: Find the prime factorization of 2066

2066 = 2 x 1033

Step 2: Find the prime factorization of 2067

2067 = 3 x 13 x 53

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

LCM = 4270422 = 2 x 3 x 13 x 53 x 1033

Step 4: Therefore, the least common multiple of 2066 and 2067 is 4270422.