Least Common Multiple of 6080 and 6086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6080 and 6086 the smallest integer that is 18501440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6080 and 6086 is 18501440.

LCM(6080,6086) = 18501440

LCM of 6080 and 6086

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

LCM of:
and

Least Common Multiple of 6080 and 6086

LCM of 6080 and 6086 is 18501440

Least common multiple can be found by multiplying the highest exponent prime factors of 6080 and 6086. First we will calculate the prime factors of 6080 and 6086.

Prime Factorization of 6080


2 6080
2 3040
2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 6080 are 2, 5,19. Prime factorization of 6080 in exponential form is:

6080 = 26×51×191

Prime Factorization of 6086


2 6086
17 3043
179 179
1

Prime factors of 6086 are 2, 17,179. Prime factorization of 6086 in exponential form is:

6086 = 21×171×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6080 and 6086.

LCM(6080,6086) = 26×51×171×191×1791
LCM(6080,6086) = 18501440

Factors of 6080

List of positive integer factors of 6080 that divides 6080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1, 2, 17, 34, 179, 358, 3043, 6086

Least Common Multiple of 6080 and 6086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6080 and 6086, than apply into the LCM equation.

GCF(6080,6086) = 2
LCM(6080,6086) = ( 6080 × 6086) / 2
LCM(6080,6086) = 37002880 / 2
LCM(6080,6086) = 18501440

Properties of LCM 6080 and 6086

(i) The LCM of 6086 and 6080 is associative

LCM of 6080 and 6086 = LCM of 6086 and 6080

Related Least Common Multiples of 6080

Related Least Common Multiples of 6086

Frequently Asked Questions on LCM of 6080 and 6086

1. What is the LCM of 6080 and 6086?

Answer: LCM of 6080 and 6086 is 18501440.

2. What are the Factors of 6080?

Answer: Factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080. There are 28 integers that are factors of 6080. The greatest factor of 6080 is 6080.

3. What are the Factors of 6086?

Answer: Factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086. There are 8 integers that are factors of 6086. The greatest factor of 6086 is 6086.

4. How to Find the LCM of 6080 and 6086?

Answer:

Least Common Multiple of 6080 and 6086 = 18501440

Step 1: Find the prime factorization of 6080

6080 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 6086

6086 = 2 x 17 x 179

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

LCM = 18501440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 19 x 179

Step 4: Therefore, the least common multiple of 6080 and 6086 is 18501440.