Least Common Multiple of 2068 and 2073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2068 and 2073 the smallest integer that is 4286964 that is divisible by both numbers.

Least Common Multiple (LCM) of 2068 and 2073 is 4286964.

LCM(2068,2073) = 4286964

LCM of 2068 and 2073

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

LCM of:
and

Least Common Multiple of 2068 and 2073

LCM of 2068 and 2073 is 4286964

Least common multiple can be found by multiplying the highest exponent prime factors of 2068 and 2073. First we will calculate the prime factors of 2068 and 2073.

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

Prime Factorization of 2073


3 2073
691 691
1

Prime factors of 2073 are 3,691. Prime factorization of 2073 in exponential form is:

2073 = 31×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 2068 and 2073.

LCM(2068,2073) = 22×31×111×471×6911
LCM(2068,2073) = 4286964

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

Factors of 2073

List of positive integer factors of 2073 that divides 2073 without a remainder.

1, 3, 691, 2073

Least Common Multiple of 2068 and 2073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2068 and 2073, than apply into the LCM equation.

GCF(2068,2073) = 1
LCM(2068,2073) = ( 2068 × 2073) / 1
LCM(2068,2073) = 4286964 / 1
LCM(2068,2073) = 4286964

Properties of LCM 2068 and 2073

(i) The LCM of 2073 and 2068 is associative

LCM of 2068 and 2073 = LCM of 2073 and 2068

Related Least Common Multiples of 2068

Related Least Common Multiples of 2073

Frequently Asked Questions on LCM of 2068 and 2073

1. What is the LCM of 2068 and 2073?

Answer: LCM of 2068 and 2073 is 4286964.

2. 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.

3. What are the Factors of 2073?

Answer: Factors of 2073 are 1, 3, 691, 2073. There are 4 integers that are factors of 2073. The greatest factor of 2073 is 2073.

4. How to Find the LCM of 2068 and 2073?

Answer:

Least Common Multiple of 2068 and 2073 = 4286964

Step 1: Find the prime factorization of 2068

2068 = 2 x 2 x 11 x 47

Step 2: Find the prime factorization of 2073

2073 = 3 x 691

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

LCM = 4286964 = 2 x 2 x 3 x 11 x 47 x 691

Step 4: Therefore, the least common multiple of 2068 and 2073 is 4286964.