Least Common Multiple of 3080 and 3086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3080 and 3086 the smallest integer that is 4752440 that is divisible by both numbers.

Least Common Multiple (LCM) of 3080 and 3086 is 4752440.

LCM(3080,3086) = 4752440

LCM of 3080 and 3086

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

LCM of:
and

Least Common Multiple of 3080 and 3086

LCM of 3080 and 3086 is 4752440

Least common multiple can be found by multiplying the highest exponent prime factors of 3080 and 3086. First we will calculate the prime factors of 3080 and 3086.

Prime Factorization of 3080


2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 3080 are 2, 5, 7,11. Prime factorization of 3080 in exponential form is:

3080 = 23×51×71×111

Prime Factorization of 3086


2 3086
1543 1543
1

Prime factors of 3086 are 2,1543. Prime factorization of 3086 in exponential form is:

3086 = 21×15431

Now multiplying the highest exponent prime factors to calculate the LCM of 3080 and 3086.

LCM(3080,3086) = 23×51×71×111×15431
LCM(3080,3086) = 4752440

Factors of 3080

List of positive integer factors of 3080 that divides 3080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080

Factors of 3086

List of positive integer factors of 3086 that divides 3086 without a remainder.

1, 2, 1543, 3086

Least Common Multiple of 3080 and 3086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3080 and 3086, than apply into the LCM equation.

GCF(3080,3086) = 2
LCM(3080,3086) = ( 3080 × 3086) / 2
LCM(3080,3086) = 9504880 / 2
LCM(3080,3086) = 4752440

Properties of LCM 3080 and 3086

(i) The LCM of 3086 and 3080 is associative

LCM of 3080 and 3086 = LCM of 3086 and 3080

Related Least Common Multiples of 3080

Related Least Common Multiples of 3086

Frequently Asked Questions on LCM of 3080 and 3086

1. What is the LCM of 3080 and 3086?

Answer: LCM of 3080 and 3086 is 4752440.

2. What are the Factors of 3080?

Answer: Factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080. There are 32 integers that are factors of 3080. The greatest factor of 3080 is 3080.

3. What are the Factors of 3086?

Answer: Factors of 3086 are 1, 2, 1543, 3086. There are 4 integers that are factors of 3086. The greatest factor of 3086 is 3086.

4. How to Find the LCM of 3080 and 3086?

Answer:

Least Common Multiple of 3080 and 3086 = 4752440

Step 1: Find the prime factorization of 3080

3080 = 2 x 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 3086

3086 = 2 x 1543

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

LCM = 4752440 = 2 x 2 x 2 x 5 x 7 x 11 x 1543

Step 4: Therefore, the least common multiple of 3080 and 3086 is 4752440.