Least Common Multiple of 2080 and 2087

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 2087 the smallest integer that is 4340960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2080 and 2087 is 4340960.

LCM(2080,2087) = 4340960

LCM of 2080 and 2087

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

LCM of:
and

Least Common Multiple of 2080 and 2087

LCM of 2080 and 2087 is 4340960

Least common multiple can be found by multiplying the highest exponent prime factors of 2080 and 2087. First we will calculate the prime factors of 2080 and 2087.

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 2087


2087 2087
1

Prime factors of 2087 are 2087. Prime factorization of 2087 in exponential form is:

2087 = 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 2080 and 2087.

LCM(2080,2087) = 25×51×131×20871
LCM(2080,2087) = 4340960

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 2087

List of positive integer factors of 2087 that divides 2087 without a remainder.

1, 2087

Least Common Multiple of 2080 and 2087 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 2087, than apply into the LCM equation.

GCF(2080,2087) = 1
LCM(2080,2087) = ( 2080 × 2087) / 1
LCM(2080,2087) = 4340960 / 1
LCM(2080,2087) = 4340960

Properties of LCM 2080 and 2087

(i) The LCM of 2087 and 2080 is associative

LCM of 2080 and 2087 = LCM of 2087 and 2080

Related Least Common Multiples of 2080

Related Least Common Multiples of 2087

Frequently Asked Questions on LCM of 2080 and 2087

1. What is the LCM of 2080 and 2087?

Answer: LCM of 2080 and 2087 is 4340960.

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 2087?

Answer: Factors of 2087 are 1, 2087. There are 2 integers that are factors of 2087. The greatest factor of 2087 is 2087.

4. How to Find the LCM of 2080 and 2087?

Answer:

Least Common Multiple of 2080 and 2087 = 4340960

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 2087

2087 = 2087

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

LCM = 4340960 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 2087

Step 4: Therefore, the least common multiple of 2080 and 2087 is 4340960.