Least Common Multiple of 2075 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 2075 and 2079 the smallest integer that is 4313925 that is divisible by both numbers.

Least Common Multiple (LCM) of 2075 and 2079 is 4313925.

LCM(2075,2079) = 4313925

LCM of 2075 and 2079

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

LCM of:
and

Least Common Multiple of 2075 and 2079

LCM of 2075 and 2079 is 4313925

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2079. First we will calculate the prime factors of 2075 and 2079.

Prime Factorization of 2075


5 2075
5 415
83 83
1

Prime factors of 2075 are 5,83. Prime factorization of 2075 in exponential form is:

2075 = 52×831

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 2075 and 2079.

LCM(2075,2079) = 33×52×71×111×831
LCM(2075,2079) = 4313925

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1, 5, 25, 83, 415, 2075

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 2075 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 2075 and 2079, than apply into the LCM equation.

GCF(2075,2079) = 1
LCM(2075,2079) = ( 2075 × 2079) / 1
LCM(2075,2079) = 4313925 / 1
LCM(2075,2079) = 4313925

Properties of LCM 2075 and 2079

(i) The LCM of 2079 and 2075 is associative

LCM of 2075 and 2079 = LCM of 2079 and 2075

Related Least Common Multiples of 2075

Related Least Common Multiples of 2079

Frequently Asked Questions on LCM of 2075 and 2079

1. What is the LCM of 2075 and 2079?

Answer: LCM of 2075 and 2079 is 4313925.

2. What are the Factors of 2075?

Answer: Factors of 2075 are 1, 5, 25, 83, 415, 2075. There are 6 integers that are factors of 2075. The greatest factor of 2075 is 2075.

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 2075 and 2079?

Answer:

Least Common Multiple of 2075 and 2079 = 4313925

Step 1: Find the prime factorization of 2075

2075 = 5 x 5 x 83

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 = 4313925 = 3 x 3 x 3 x 5 x 5 x 7 x 11 x 83

Step 4: Therefore, the least common multiple of 2075 and 2079 is 4313925.