Least Common Multiple of 83 and 86

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

• Least Common Multiple of 83 and 86 by Prime method
• Least Common Multiple of 83 and 86 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 83 and 86. First we will calculate the prime factors of 83 and 86.

Prime Factorization of 83

Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:

83 = 83¹

Prime Factorization of 86

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 83 and 86.

LCM(83,86) = 2¹×43¹×83¹
LCM(83,86) = 7138

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1, 83

Factors of 86

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

1, 2, 43, 86

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83 and 86, than apply into the LCM equation.

GCF(83,86) = 1
LCM(83,86) = ( 83 × 86) / 1
LCM(83,86) = 7138 / 1
LCM(83,86) = 7138

(i) The LCM of 86 and 83 is associative

LCM of 83 and 86 = LCM of 86 and 83

1. What is the LCM of 83 and 86?

Answer: LCM of 83 and 86 is 7138.

2. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

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 83 and 86?

Answer:

Least Common Multiple of 83 and 86 = 7138

Step 1: Find the prime factorization of 83

83 = 83

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 = 7138 = 2 x 43 x 83

Step 4: Therefore, the least common multiple of 83 and 86 is 7138.