Least Common Multiple of 2072 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 2072 and 2077 the smallest integer that is 4303544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2072 and 2077 is 4303544.

LCM(2072,2077) = 4303544

LCM of 2072 and 2077

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

LCM of:
and

Least Common Multiple of 2072 and 2077

LCM of 2072 and 2077 is 4303544

Least common multiple can be found by multiplying the highest exponent prime factors of 2072 and 2077. First we will calculate the prime factors of 2072 and 2077.

Prime Factorization of 2072


2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 2072 are 2, 7,37. Prime factorization of 2072 in exponential form is:

2072 = 23×71×371

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 2072 and 2077.

LCM(2072,2077) = 23×71×311×371×671
LCM(2072,2077) = 4303544

Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072

Factors of 2077

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

1, 31, 67, 2077

Least Common Multiple of 2072 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 2072 and 2077, than apply into the LCM equation.

GCF(2072,2077) = 1
LCM(2072,2077) = ( 2072 × 2077) / 1
LCM(2072,2077) = 4303544 / 1
LCM(2072,2077) = 4303544

Properties of LCM 2072 and 2077

(i) The LCM of 2077 and 2072 is associative

LCM of 2072 and 2077 = LCM of 2077 and 2072

Related Least Common Multiples of 2072

Related Least Common Multiples of 2077

Frequently Asked Questions on LCM of 2072 and 2077

1. What is the LCM of 2072 and 2077?

Answer: LCM of 2072 and 2077 is 4303544.

2. What are the Factors of 2072?

Answer: Factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072. There are 16 integers that are factors of 2072. The greatest factor of 2072 is 2072.

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 2072 and 2077?

Answer:

Least Common Multiple of 2072 and 2077 = 4303544

Step 1: Find the prime factorization of 2072

2072 = 2 x 2 x 2 x 7 x 37

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 = 4303544 = 2 x 2 x 2 x 7 x 31 x 37 x 67

Step 4: Therefore, the least common multiple of 2072 and 2077 is 4303544.