Least Common Multiple of 2072 and 2079

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 2079 the smallest integer that is 615384 that is divisible by both numbers.

Least Common Multiple (LCM) of 2072 and 2079 is 615384.

LCM(2072,2079) = 615384

LCM of 2072 and 2079

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

LCM of:
and

Least Common Multiple of 2072 and 2079

LCM of 2072 and 2079 is 615384

Least common multiple can be found by multiplying the highest exponent prime factors of 2072 and 2079. First we will calculate the prime factors of 2072 and 2079.

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 2079


3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 2079 are 3, 7,11. Prime factorization of 2079 in exponential form is:

2079 = 33×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2072 and 2079.

LCM(2072,2079) = 23×33×71×111×371
LCM(2072,2079) = 615384

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 2079

List of positive integer factors of 2079 that divides 2079 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079

Least Common Multiple of 2072 and 2079 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 2079, than apply into the LCM equation.

GCF(2072,2079) = 7
LCM(2072,2079) = ( 2072 × 2079) / 7
LCM(2072,2079) = 4307688 / 7
LCM(2072,2079) = 615384

Properties of LCM 2072 and 2079

(i) The LCM of 2079 and 2072 is associative

LCM of 2072 and 2079 = LCM of 2079 and 2072

Related Least Common Multiples of 2072

Related Least Common Multiples of 2079

Frequently Asked Questions on LCM of 2072 and 2079

1. What is the LCM of 2072 and 2079?

Answer: LCM of 2072 and 2079 is 615384.

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 2079?

Answer: Factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079. There are 16 integers that are factors of 2079. The greatest factor of 2079 is 2079.

4. How to Find the LCM of 2072 and 2079?

Answer:

Least Common Multiple of 2072 and 2079 = 615384

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 2079

2079 = 3 x 3 x 3 x 7 x 11

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

LCM = 615384 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 37

Step 4: Therefore, the least common multiple of 2072 and 2079 is 615384.