Least Common Multiple of 2080 and 2086

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 2086 the smallest integer that is 2169440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2080 and 2086 is 2169440.

LCM(2080,2086) = 2169440

LCM of 2080 and 2086

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

LCM of:
and

Least Common Multiple of 2080 and 2086

LCM of 2080 and 2086 is 2169440

Least common multiple can be found by multiplying the highest exponent prime factors of 2080 and 2086. First we will calculate the prime factors of 2080 and 2086.

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 2086


2 2086
7 1043
149 149
1

Prime factors of 2086 are 2, 7,149. Prime factorization of 2086 in exponential form is:

2086 = 21×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2080 and 2086.

LCM(2080,2086) = 25×51×71×131×1491
LCM(2080,2086) = 2169440

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 2086

List of positive integer factors of 2086 that divides 2086 without a remainder.

1, 2, 7, 14, 149, 298, 1043, 2086

Least Common Multiple of 2080 and 2086 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 2086, than apply into the LCM equation.

GCF(2080,2086) = 2
LCM(2080,2086) = ( 2080 × 2086) / 2
LCM(2080,2086) = 4338880 / 2
LCM(2080,2086) = 2169440

Properties of LCM 2080 and 2086

(i) The LCM of 2086 and 2080 is associative

LCM of 2080 and 2086 = LCM of 2086 and 2080

Related Least Common Multiples of 2080

Related Least Common Multiples of 2086

Frequently Asked Questions on LCM of 2080 and 2086

1. What is the LCM of 2080 and 2086?

Answer: LCM of 2080 and 2086 is 2169440.

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 2086?

Answer: Factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086. There are 8 integers that are factors of 2086. The greatest factor of 2086 is 2086.

4. How to Find the LCM of 2080 and 2086?

Answer:

Least Common Multiple of 2080 and 2086 = 2169440

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 2086

2086 = 2 x 7 x 149

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

LCM = 2169440 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13 x 149

Step 4: Therefore, the least common multiple of 2080 and 2086 is 2169440.