Least Common Multiple of 80 and 86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 80 and 86 the smallest integer that is 3440 that is divisible by both numbers.

Least Common Multiple (LCM) of 80 and 86 is 3440.

LCM(80,86) = 3440

LCM of 80 and 86

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

LCM of:
and

Least Common Multiple of 80 and 86

LCM of 80 and 86 is 3440

Least common multiple can be found by multiplying the highest exponent prime factors of 80 and 86. First we will calculate the prime factors of 80 and 86.

Prime Factorization of 80


2 80
2 40
2 20
2 10
5 5
1

Prime factors of 80 are 2,5. Prime factorization of 80 in exponential form is:

80 = 24×51

Prime Factorization of 86


2 86
43 43
1

Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:

86 = 21×431

Now multiplying the highest exponent prime factors to calculate the LCM of 80 and 86.

LCM(80,86) = 24×51×431
LCM(80,86) = 3440

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Least Common Multiple of 80 and 86 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80 and 86, than apply into the LCM equation.

GCF(80,86) = 2
LCM(80,86) = ( 80 × 86) / 2
LCM(80,86) = 6880 / 2
LCM(80,86) = 3440

Properties of LCM 80 and 86

(i) The LCM of 86 and 80 is associative

LCM of 80 and 86 = LCM of 86 and 80

Related Least Common Multiples of 80

Related Least Common Multiples of 86

Frequently Asked Questions on LCM of 80 and 86

1. What is the LCM of 80 and 86?

Answer: LCM of 80 and 86 is 3440.

2. What are the Factors of 80?

Answer: Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. There are 10 integers that are factors of 80. The greatest factor of 80 is 80.

3. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

4. How to Find the LCM of 80 and 86?

Answer:

Least Common Multiple of 80 and 86 = 3440

Step 1: Find the prime factorization of 80

80 = 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 86

86 = 2 x 43

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

LCM = 3440 = 2 x 2 x 2 x 2 x 5 x 43

Step 4: Therefore, the least common multiple of 80 and 86 is 3440.