Least Common Multiple of 66982 and 66987

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

• Least Common Multiple of 66982 and 66987 by Prime method
• Least Common Multiple of 66982 and 66987 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 66982 and 66987. First we will calculate the prime factors of 66982 and 66987.

Prime Factorization of 66982

Prime factors of 66982 are 2, 107,313. Prime factorization of 66982 in exponential form is:

66982 = 2¹×107¹×313¹

Prime Factorization of 66987

Prime factors of 66987 are 3,827. Prime factorization of 66987 in exponential form is:

66987 = 3⁴×827¹

Now multiplying the highest exponent prime factors to calculate the LCM of 66982 and 66987.

LCM(66982,66987) = 2¹×3⁴×107¹×313¹×827¹
LCM(66982,66987) = 4486923234

Factors of 66982

List of positive integer factors of 66982 that divides 66982 without a remainder.

1, 2, 107, 214, 313, 626, 33491, 66982

Factors of 66987

List of positive integer factors of 66987 that divides 66987 without a remainder.

1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66982 and 66987, than apply into the LCM equation.

GCF(66982,66987) = 1
LCM(66982,66987) = ( 66982 × 66987) / 1
LCM(66982,66987) = 4486923234 / 1
LCM(66982,66987) = 4486923234

(i) The LCM of 66987 and 66982 is associative

LCM of 66982 and 66987 = LCM of 66987 and 66982

1. What is the LCM of 66982 and 66987?

Answer: LCM of 66982 and 66987 is 4486923234.

2. What are the Factors of 66982?

Answer: Factors of 66982 are 1, 2, 107, 214, 313, 626, 33491, 66982. There are 8 integers that are factors of 66982. The greatest factor of 66982 is 66982.

3. What are the Factors of 66987?

Answer: Factors of 66987 are 1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987. There are 10 integers that are factors of 66987. The greatest factor of 66987 is 66987.

4. How to Find the LCM of 66982 and 66987?

Answer:

Least Common Multiple of 66982 and 66987 = 4486923234

Step 1: Find the prime factorization of 66982

66982 = 2 x 107 x 313

Step 2: Find the prime factorization of 66987

66987 = 3 x 3 x 3 x 3 x 827

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

LCM = 4486923234 = 2 x 3 x 3 x 3 x 3 x 107 x 313 x 827

Step 4: Therefore, the least common multiple of 66982 and 66987 is 4486923234.