Least Common Multiple of 86 and 97

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

• Least Common Multiple of 86 and 97 by Prime method
• Least Common Multiple of 86 and 97 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 86 and 97. First we will calculate the prime factors of 86 and 97.

Prime Factorization of 86

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

86 = 2¹×43¹

Prime Factorization of 97

Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:

97 = 97¹

Now multiplying the highest exponent prime factors to calculate the LCM of 86 and 97.

LCM(86,97) = 2¹×43¹×97¹
LCM(86,97) = 8342

Factors of 86

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

1, 2, 43, 86

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1, 97

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86 and 97, than apply into the LCM equation.

GCF(86,97) = 1
LCM(86,97) = ( 86 × 97) / 1
LCM(86,97) = 8342 / 1
LCM(86,97) = 8342

(i) The LCM of 97 and 86 is associative

LCM of 86 and 97 = LCM of 97 and 86

1. What is the LCM of 86 and 97?

Answer: LCM of 86 and 97 is 8342.

2. 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.

3. What are the Factors of 97?

Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.

4. How to Find the LCM of 86 and 97?

Answer:

Least Common Multiple of 86 and 97 = 8342

Step 1: Find the prime factorization of 86

86 = 2 x 43

Step 2: Find the prime factorization of 97

97 = 97

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

LCM = 8342 = 2 x 43 x 97

Step 4: Therefore, the least common multiple of 86 and 97 is 8342.