Least Common Multiple of 2080 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 2080 and 2082 the smallest integer that is 2165280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2080 and 2082 is 2165280.

LCM(2080,2082) = 2165280

LCM of 2080 and 2082

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

LCM of:
and

Least Common Multiple of 2080 and 2082

LCM of 2080 and 2082 is 2165280

Least common multiple can be found by multiplying the highest exponent prime factors of 2080 and 2082. First we will calculate the prime factors of 2080 and 2082.

Prime Factorization of 2080


2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 2080 are 2, 5,13. Prime factorization of 2080 in exponential form is:

2080 = 25×51×131

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 2080 and 2082.

LCM(2080,2082) = 25×31×51×131×3471
LCM(2080,2082) = 2165280

Factors of 2080

List of positive integer factors of 2080 that divides 2080 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080

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 2080 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 2080 and 2082, than apply into the LCM equation.

GCF(2080,2082) = 2
LCM(2080,2082) = ( 2080 × 2082) / 2
LCM(2080,2082) = 4330560 / 2
LCM(2080,2082) = 2165280

Properties of LCM 2080 and 2082

(i) The LCM of 2082 and 2080 is associative

LCM of 2080 and 2082 = LCM of 2082 and 2080

Related Least Common Multiples of 2080

Related Least Common Multiples of 2082

Frequently Asked Questions on LCM of 2080 and 2082

1. What is the LCM of 2080 and 2082?

Answer: LCM of 2080 and 2082 is 2165280.

2. What are the Factors of 2080?

Answer: Factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080. There are 24 integers that are factors of 2080. The greatest factor of 2080 is 2080.

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 2080 and 2082?

Answer:

Least Common Multiple of 2080 and 2082 = 2165280

Step 1: Find the prime factorization of 2080

2080 = 2 x 2 x 2 x 2 x 2 x 5 x 13

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 = 2165280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 347

Step 4: Therefore, the least common multiple of 2080 and 2082 is 2165280.