Least Common Multiple of 2077 and 2083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2077 and 2083 the smallest integer that is 4326391 that is divisible by both numbers.

Least Common Multiple (LCM) of 2077 and 2083 is 4326391.

LCM(2077,2083) = 4326391

LCM of 2077 and 2083

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

LCM of:
and

Least Common Multiple of 2077 and 2083

LCM of 2077 and 2083 is 4326391

Least common multiple can be found by multiplying the highest exponent prime factors of 2077 and 2083. First we will calculate the prime factors of 2077 and 2083.

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

Prime Factorization of 2083


2083 2083
1

Prime factors of 2083 are 2083. Prime factorization of 2083 in exponential form is:

2083 = 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 2077 and 2083.

LCM(2077,2083) = 311×671×20831
LCM(2077,2083) = 4326391

Factors of 2077

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

1, 31, 67, 2077

Factors of 2083

List of positive integer factors of 2083 that divides 2083 without a remainder.

1, 2083

Least Common Multiple of 2077 and 2083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2077 and 2083, than apply into the LCM equation.

GCF(2077,2083) = 1
LCM(2077,2083) = ( 2077 × 2083) / 1
LCM(2077,2083) = 4326391 / 1
LCM(2077,2083) = 4326391

Properties of LCM 2077 and 2083

(i) The LCM of 2083 and 2077 is associative

LCM of 2077 and 2083 = LCM of 2083 and 2077

Related Least Common Multiples of 2077

Related Least Common Multiples of 2083

Frequently Asked Questions on LCM of 2077 and 2083

1. What is the LCM of 2077 and 2083?

Answer: LCM of 2077 and 2083 is 4326391.

2. 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.

3. What are the Factors of 2083?

Answer: Factors of 2083 are 1, 2083. There are 2 integers that are factors of 2083. The greatest factor of 2083 is 2083.

4. How to Find the LCM of 2077 and 2083?

Answer:

Least Common Multiple of 2077 and 2083 = 4326391

Step 1: Find the prime factorization of 2077

2077 = 31 x 67

Step 2: Find the prime factorization of 2083

2083 = 2083

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

LCM = 4326391 = 31 x 67 x 2083

Step 4: Therefore, the least common multiple of 2077 and 2083 is 4326391.