Least Common Multiple of 2069 and 2075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2069 and 2075 the smallest integer that is 4293175 that is divisible by both numbers.

Least Common Multiple (LCM) of 2069 and 2075 is 4293175.

LCM(2069,2075) = 4293175

LCM of 2069 and 2075

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

LCM of:
and

Least Common Multiple of 2069 and 2075

LCM of 2069 and 2075 is 4293175

Least common multiple can be found by multiplying the highest exponent prime factors of 2069 and 2075. First we will calculate the prime factors of 2069 and 2075.

Prime Factorization of 2069


2069 2069
1

Prime factors of 2069 are 2069. Prime factorization of 2069 in exponential form is:

2069 = 20691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2069 and 2075.

LCM(2069,2075) = 52×831×20691
LCM(2069,2075) = 4293175

Factors of 2069

List of positive integer factors of 2069 that divides 2069 without a remainder.

1, 2069

Factors of 2075

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

1, 5, 25, 83, 415, 2075

Least Common Multiple of 2069 and 2075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2069 and 2075, than apply into the LCM equation.

GCF(2069,2075) = 1
LCM(2069,2075) = ( 2069 × 2075) / 1
LCM(2069,2075) = 4293175 / 1
LCM(2069,2075) = 4293175

Properties of LCM 2069 and 2075

(i) The LCM of 2075 and 2069 is associative

LCM of 2069 and 2075 = LCM of 2075 and 2069

Related Least Common Multiples of 2069

Related Least Common Multiples of 2075

Frequently Asked Questions on LCM of 2069 and 2075

1. What is the LCM of 2069 and 2075?

Answer: LCM of 2069 and 2075 is 4293175.

2. What are the Factors of 2069?

Answer: Factors of 2069 are 1, 2069. There are 2 integers that are factors of 2069. The greatest factor of 2069 is 2069.

3. 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.

4. How to Find the LCM of 2069 and 2075?

Answer:

Least Common Multiple of 2069 and 2075 = 4293175

Step 1: Find the prime factorization of 2069

2069 = 2069

Step 2: Find the prime factorization of 2075

2075 = 5 x 5 x 83

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

LCM = 4293175 = 5 x 5 x 83 x 2069

Step 4: Therefore, the least common multiple of 2069 and 2075 is 4293175.