Least Common Multiple of 2075 and 2082

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 2082 the smallest integer that is 4320150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2075 and 2082 is 4320150.

LCM(2075,2082) = 4320150

LCM of 2075 and 2082

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

LCM of:
and

Least Common Multiple of 2075 and 2082

LCM of 2075 and 2082 is 4320150

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2082. First we will calculate the prime factors of 2075 and 2082.

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 2082


2 2082
3 1041
347 347
1

Prime factors of 2082 are 2, 3,347. Prime factorization of 2082 in exponential form is:

2082 = 21×31×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 2075 and 2082.

LCM(2075,2082) = 21×31×52×831×3471
LCM(2075,2082) = 4320150

Factors of 2075

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

1, 5, 25, 83, 415, 2075

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1, 2, 3, 6, 347, 694, 1041, 2082

Least Common Multiple of 2075 and 2082 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 2082, than apply into the LCM equation.

GCF(2075,2082) = 1
LCM(2075,2082) = ( 2075 × 2082) / 1
LCM(2075,2082) = 4320150 / 1
LCM(2075,2082) = 4320150

Properties of LCM 2075 and 2082

(i) The LCM of 2082 and 2075 is associative

LCM of 2075 and 2082 = LCM of 2082 and 2075

Related Least Common Multiples of 2075

Related Least Common Multiples of 2082

Frequently Asked Questions on LCM of 2075 and 2082

1. What is the LCM of 2075 and 2082?

Answer: LCM of 2075 and 2082 is 4320150.

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 2082?

Answer: Factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082. There are 8 integers that are factors of 2082. The greatest factor of 2082 is 2082.

4. How to Find the LCM of 2075 and 2082?

Answer:

Least Common Multiple of 2075 and 2082 = 4320150

Step 1: Find the prime factorization of 2075

2075 = 5 x 5 x 83

Step 2: Find the prime factorization of 2082

2082 = 2 x 3 x 347

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

LCM = 4320150 = 2 x 3 x 5 x 5 x 83 x 347

Step 4: Therefore, the least common multiple of 2075 and 2082 is 4320150.