Least Common Multiple of 2072 and 2076

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 2076 the smallest integer that is 1075368 that is divisible by both numbers.

Least Common Multiple (LCM) of 2072 and 2076 is 1075368.

LCM(2072,2076) = 1075368

LCM of 2072 and 2076

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

LCM of:
and

Least Common Multiple of 2072 and 2076

LCM of 2072 and 2076 is 1075368

Least common multiple can be found by multiplying the highest exponent prime factors of 2072 and 2076. First we will calculate the prime factors of 2072 and 2076.

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 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2, 3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2072 and 2076.

LCM(2072,2076) = 23×31×71×371×1731
LCM(2072,2076) = 1075368

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 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076

Least Common Multiple of 2072 and 2076 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 2076, than apply into the LCM equation.

GCF(2072,2076) = 4
LCM(2072,2076) = ( 2072 × 2076) / 4
LCM(2072,2076) = 4301472 / 4
LCM(2072,2076) = 1075368

Properties of LCM 2072 and 2076

(i) The LCM of 2076 and 2072 is associative

LCM of 2072 and 2076 = LCM of 2076 and 2072

Related Least Common Multiples of 2072

Related Least Common Multiples of 2076

Frequently Asked Questions on LCM of 2072 and 2076

1. What is the LCM of 2072 and 2076?

Answer: LCM of 2072 and 2076 is 1075368.

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 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

4. How to Find the LCM of 2072 and 2076?

Answer:

Least Common Multiple of 2072 and 2076 = 1075368

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 2076

2076 = 2 x 2 x 3 x 173

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

LCM = 1075368 = 2 x 2 x 2 x 3 x 7 x 37 x 173

Step 4: Therefore, the least common multiple of 2072 and 2076 is 1075368.