Least Common Multiple of 66977 and 66982

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

• Least Common Multiple of 66977 and 66982 by Prime method
• Least Common Multiple of 66977 and 66982 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 66977 and 66982. First we will calculate the prime factors of 66977 and 66982.

Prime Factorization of 66977

Prime factors of 66977 are 66977. Prime factorization of 66977 in exponential form is:

66977 = 66977¹

Prime Factorization of 66982

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

66982 = 2¹×107¹×313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 66977 and 66982.

LCM(66977,66982) = 2¹×107¹×313¹×66977¹
LCM(66977,66982) = 4486253414

Factors of 66977

List of positive integer factors of 66977 that divides 66977 without a remainder.

1, 66977

Factors of 66982

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66977 and 66982, than apply into the LCM equation.

GCF(66977,66982) = 1
LCM(66977,66982) = ( 66977 × 66982) / 1
LCM(66977,66982) = 4486253414 / 1
LCM(66977,66982) = 4486253414

(i) The LCM of 66982 and 66977 is associative

LCM of 66977 and 66982 = LCM of 66982 and 66977

1. What is the LCM of 66977 and 66982?

Answer: LCM of 66977 and 66982 is 4486253414.

2. What are the Factors of 66977?

Answer: Factors of 66977 are 1, 66977. There are 2 integers that are factors of 66977. The greatest factor of 66977 is 66977.

3. 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.

4. How to Find the LCM of 66977 and 66982?

Answer:

Least Common Multiple of 66977 and 66982 = 4486253414

Step 1: Find the prime factorization of 66977

66977 = 66977

Step 2: Find the prime factorization of 66982

66982 = 2 x 107 x 313

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

LCM = 4486253414 = 2 x 107 x 313 x 66977

Step 4: Therefore, the least common multiple of 66977 and 66982 is 4486253414.