Least Common Multiple of 2060 and 2068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2060 and 2068 the smallest integer that is 1065020 that is divisible by both numbers.

Least Common Multiple (LCM) of 2060 and 2068 is 1065020.

LCM(2060,2068) = 1065020

LCM of 2060 and 2068

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

LCM of:
and

Least Common Multiple of 2060 and 2068

LCM of 2060 and 2068 is 1065020

Least common multiple can be found by multiplying the highest exponent prime factors of 2060 and 2068. First we will calculate the prime factors of 2060 and 2068.

Prime Factorization of 2060


2 2060
2 1030
5 515
103 103
1

Prime factors of 2060 are 2, 5,103. Prime factorization of 2060 in exponential form is:

2060 = 22×51×1031

Prime Factorization of 2068


2 2068
2 1034
11 517
47 47
1

Prime factors of 2068 are 2, 11,47. Prime factorization of 2068 in exponential form is:

2068 = 22×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2060 and 2068.

LCM(2060,2068) = 22×51×111×471×1031
LCM(2060,2068) = 1065020

Factors of 2060

List of positive integer factors of 2060 that divides 2060 without a remainder.

1, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 2060

Factors of 2068

List of positive integer factors of 2068 that divides 2068 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

Least Common Multiple of 2060 and 2068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2060 and 2068, than apply into the LCM equation.

GCF(2060,2068) = 4
LCM(2060,2068) = ( 2060 × 2068) / 4
LCM(2060,2068) = 4260080 / 4
LCM(2060,2068) = 1065020

Properties of LCM 2060 and 2068

(i) The LCM of 2068 and 2060 is associative

LCM of 2060 and 2068 = LCM of 2068 and 2060

Related Least Common Multiples of 2060

Related Least Common Multiples of 2068

Frequently Asked Questions on LCM of 2060 and 2068

1. What is the LCM of 2060 and 2068?

Answer: LCM of 2060 and 2068 is 1065020.

2. What are the Factors of 2060?

Answer: Factors of 2060 are 1, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 2060. There are 12 integers that are factors of 2060. The greatest factor of 2060 is 2060.

3. What are the Factors of 2068?

Answer: Factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068. There are 12 integers that are factors of 2068. The greatest factor of 2068 is 2068.

4. How to Find the LCM of 2060 and 2068?

Answer:

Least Common Multiple of 2060 and 2068 = 1065020

Step 1: Find the prime factorization of 2060

2060 = 2 x 2 x 5 x 103

Step 2: Find the prime factorization of 2068

2068 = 2 x 2 x 11 x 47

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

LCM = 1065020 = 2 x 2 x 5 x 11 x 47 x 103

Step 4: Therefore, the least common multiple of 2060 and 2068 is 1065020.