Least Common Multiple of 2080 and 2083

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 2083 the smallest integer that is 4332640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2080 and 2083 is 4332640.

LCM(2080,2083) = 4332640

LCM of 2080 and 2083

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

LCM of:
and

Least Common Multiple of 2080 and 2083

LCM of 2080 and 2083 is 4332640

Least common multiple can be found by multiplying the highest exponent prime factors of 2080 and 2083. First we will calculate the prime factors of 2080 and 2083.

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 2083


2083 2083
1

Prime factors of 2083 are 2083. Prime factorization of 2083 in exponential form is:

2083 = 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 2080 and 2083.

LCM(2080,2083) = 25×51×131×20831
LCM(2080,2083) = 4332640

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 2083

List of positive integer factors of 2083 that divides 2083 without a remainder.

1, 2083

Least Common Multiple of 2080 and 2083 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 2083, than apply into the LCM equation.

GCF(2080,2083) = 1
LCM(2080,2083) = ( 2080 × 2083) / 1
LCM(2080,2083) = 4332640 / 1
LCM(2080,2083) = 4332640

Properties of LCM 2080 and 2083

(i) The LCM of 2083 and 2080 is associative

LCM of 2080 and 2083 = LCM of 2083 and 2080

Related Least Common Multiples of 2080

Related Least Common Multiples of 2083

Frequently Asked Questions on LCM of 2080 and 2083

1. What is the LCM of 2080 and 2083?

Answer: LCM of 2080 and 2083 is 4332640.

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 2083?

Answer: Factors of 2083 are 1, 2083. There are 2 integers that are factors of 2083. The greatest factor of 2083 is 2083.

4. How to Find the LCM of 2080 and 2083?

Answer:

Least Common Multiple of 2080 and 2083 = 4332640

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 2083

2083 = 2083

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

LCM = 4332640 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 2083

Step 4: Therefore, the least common multiple of 2080 and 2083 is 4332640.