Least Common Multiple of 2062 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 2062 and 2067 the smallest integer that is 4262154 that is divisible by both numbers.

Least Common Multiple (LCM) of 2062 and 2067 is 4262154.

LCM(2062,2067) = 4262154

LCM of 2062 and 2067

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

LCM of:
and

Least Common Multiple of 2062 and 2067

LCM of 2062 and 2067 is 4262154

Least common multiple can be found by multiplying the highest exponent prime factors of 2062 and 2067. First we will calculate the prime factors of 2062 and 2067.

Prime Factorization of 2062


2 2062
1031 1031
1

Prime factors of 2062 are 2,1031. Prime factorization of 2062 in exponential form is:

2062 = 21×10311

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 2062 and 2067.

LCM(2062,2067) = 21×31×131×531×10311
LCM(2062,2067) = 4262154

Factors of 2062

List of positive integer factors of 2062 that divides 2062 without a remainder.

1, 2, 1031, 2062

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 2062 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 2062 and 2067, than apply into the LCM equation.

GCF(2062,2067) = 1
LCM(2062,2067) = ( 2062 × 2067) / 1
LCM(2062,2067) = 4262154 / 1
LCM(2062,2067) = 4262154

Properties of LCM 2062 and 2067

(i) The LCM of 2067 and 2062 is associative

LCM of 2062 and 2067 = LCM of 2067 and 2062

Related Least Common Multiples of 2062

Related Least Common Multiples of 2067

Frequently Asked Questions on LCM of 2062 and 2067

1. What is the LCM of 2062 and 2067?

Answer: LCM of 2062 and 2067 is 4262154.

2. What are the Factors of 2062?

Answer: Factors of 2062 are 1, 2, 1031, 2062. There are 4 integers that are factors of 2062. The greatest factor of 2062 is 2062.

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 2062 and 2067?

Answer:

Least Common Multiple of 2062 and 2067 = 4262154

Step 1: Find the prime factorization of 2062

2062 = 2 x 1031

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 = 4262154 = 2 x 3 x 13 x 53 x 1031

Step 4: Therefore, the least common multiple of 2062 and 2067 is 4262154.