Least Common Multiple of 85 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 85 and 86 the smallest integer that is 7310 that is divisible by both numbers.

Least Common Multiple (LCM) of 85 and 86 is 7310.

LCM(85,86) = 7310

LCM of 85 and 86

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

LCM of:
and

Least Common Multiple of 85 and 86

LCM of 85 and 86 is 7310

Least common multiple can be found by multiplying the highest exponent prime factors of 85 and 86. First we will calculate the prime factors of 85 and 86.

Prime Factorization of 85


5 85
17 17
1

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 51×171

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 85 and 86.

LCM(85,86) = 21×51×171×431
LCM(85,86) = 7310

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Factors of 86

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

1, 2, 43, 86

Least Common Multiple of 85 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 85 and 86, than apply into the LCM equation.

GCF(85,86) = 1
LCM(85,86) = ( 85 × 86) / 1
LCM(85,86) = 7310 / 1
LCM(85,86) = 7310

Properties of LCM 85 and 86

(i) The LCM of 86 and 85 is associative

LCM of 85 and 86 = LCM of 86 and 85

Related Least Common Multiples of 85

Related Least Common Multiples of 86

Frequently Asked Questions on LCM of 85 and 86

1. What is the LCM of 85 and 86?

Answer: LCM of 85 and 86 is 7310.

2. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

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 85 and 86?

Answer:

Least Common Multiple of 85 and 86 = 7310

Step 1: Find the prime factorization of 85

85 = 5 x 17

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 = 7310 = 2 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 85 and 86 is 7310.