Least Common Multiple of 2073 and 2077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2073 and 2077 the smallest integer that is 4305621 that is divisible by both numbers.

Least Common Multiple (LCM) of 2073 and 2077 is 4305621.

LCM(2073,2077) = 4305621

LCM of 2073 and 2077

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

LCM of:
and

Least Common Multiple of 2073 and 2077

LCM of 2073 and 2077 is 4305621

Least common multiple can be found by multiplying the highest exponent prime factors of 2073 and 2077. First we will calculate the prime factors of 2073 and 2077.

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

Prime Factorization of 2077


31 2077
67 67
1

Prime factors of 2077 are 31,67. Prime factorization of 2077 in exponential form is:

2077 = 311×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2073 and 2077.

LCM(2073,2077) = 31×311×671×6911
LCM(2073,2077) = 4305621

Factors of 2073

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

1, 3, 691, 2073

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1, 31, 67, 2077

Least Common Multiple of 2073 and 2077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2073 and 2077, than apply into the LCM equation.

GCF(2073,2077) = 1
LCM(2073,2077) = ( 2073 × 2077) / 1
LCM(2073,2077) = 4305621 / 1
LCM(2073,2077) = 4305621

Properties of LCM 2073 and 2077

(i) The LCM of 2077 and 2073 is associative

LCM of 2073 and 2077 = LCM of 2077 and 2073

Related Least Common Multiples of 2073

Related Least Common Multiples of 2077

Frequently Asked Questions on LCM of 2073 and 2077

1. What is the LCM of 2073 and 2077?

Answer: LCM of 2073 and 2077 is 4305621.

2. 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.

3. What are the Factors of 2077?

Answer: Factors of 2077 are 1, 31, 67, 2077. There are 4 integers that are factors of 2077. The greatest factor of 2077 is 2077.

4. How to Find the LCM of 2073 and 2077?

Answer:

Least Common Multiple of 2073 and 2077 = 4305621

Step 1: Find the prime factorization of 2073

2073 = 3 x 691

Step 2: Find the prime factorization of 2077

2077 = 31 x 67

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

LCM = 4305621 = 3 x 31 x 67 x 691

Step 4: Therefore, the least common multiple of 2073 and 2077 is 4305621.