Least Common Multiple of 2072 and 2078

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 2078 the smallest integer that is 2152808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2072 and 2078 is 2152808.

LCM(2072,2078) = 2152808

LCM of 2072 and 2078

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

LCM of:
and

Least Common Multiple of 2072 and 2078

LCM of 2072 and 2078 is 2152808

Least common multiple can be found by multiplying the highest exponent prime factors of 2072 and 2078. First we will calculate the prime factors of 2072 and 2078.

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 2078


2 2078
1039 1039
1

Prime factors of 2078 are 2,1039. Prime factorization of 2078 in exponential form is:

2078 = 21×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 2072 and 2078.

LCM(2072,2078) = 23×71×371×10391
LCM(2072,2078) = 2152808

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 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1, 2, 1039, 2078

Least Common Multiple of 2072 and 2078 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 2078, than apply into the LCM equation.

GCF(2072,2078) = 2
LCM(2072,2078) = ( 2072 × 2078) / 2
LCM(2072,2078) = 4305616 / 2
LCM(2072,2078) = 2152808

Properties of LCM 2072 and 2078

(i) The LCM of 2078 and 2072 is associative

LCM of 2072 and 2078 = LCM of 2078 and 2072

Related Least Common Multiples of 2072

Related Least Common Multiples of 2078

Frequently Asked Questions on LCM of 2072 and 2078

1. What is the LCM of 2072 and 2078?

Answer: LCM of 2072 and 2078 is 2152808.

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 2078?

Answer: Factors of 2078 are 1, 2, 1039, 2078. There are 4 integers that are factors of 2078. The greatest factor of 2078 is 2078.

4. How to Find the LCM of 2072 and 2078?

Answer:

Least Common Multiple of 2072 and 2078 = 2152808

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 2078

2078 = 2 x 1039

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

LCM = 2152808 = 2 x 2 x 2 x 7 x 37 x 1039

Step 4: Therefore, the least common multiple of 2072 and 2078 is 2152808.