Least Common Multiple of 66979 and 66983

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

• Least Common Multiple of 66979 and 66983 by Prime method
• Least Common Multiple of 66979 and 66983 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 66979 and 66983. First we will calculate the prime factors of 66979 and 66983.

Prime Factorization of 66979

Prime factors of 66979 are 11,6089. Prime factorization of 66979 in exponential form is:

66979 = 11¹×6089¹

Prime Factorization of 66983

Prime factors of 66983 are 7,1367. Prime factorization of 66983 in exponential form is:

66983 = 7²×1367¹

Now multiplying the highest exponent prime factors to calculate the LCM of 66979 and 66983.

LCM(66979,66983) = 7²×11¹×1367¹×6089¹
LCM(66979,66983) = 4486454357

Factors of 66979

List of positive integer factors of 66979 that divides 66979 without a remainder.

1, 11, 6089, 66979

Factors of 66983

List of positive integer factors of 66983 that divides 66983 without a remainder.

1, 7, 49, 1367, 9569, 66983

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66979 and 66983, than apply into the LCM equation.

GCF(66979,66983) = 1
LCM(66979,66983) = ( 66979 × 66983) / 1
LCM(66979,66983) = 4486454357 / 1
LCM(66979,66983) = 4486454357

(i) The LCM of 66983 and 66979 is associative

LCM of 66979 and 66983 = LCM of 66983 and 66979

1. What is the LCM of 66979 and 66983?

Answer: LCM of 66979 and 66983 is 4486454357.

2. What are the Factors of 66979?

Answer: Factors of 66979 are 1, 11, 6089, 66979. There are 4 integers that are factors of 66979. The greatest factor of 66979 is 66979.

3. What are the Factors of 66983?

Answer: Factors of 66983 are 1, 7, 49, 1367, 9569, 66983. There are 6 integers that are factors of 66983. The greatest factor of 66983 is 66983.

4. How to Find the LCM of 66979 and 66983?

Answer:

Least Common Multiple of 66979 and 66983 = 4486454357

Step 1: Find the prime factorization of 66979

66979 = 11 x 6089

Step 2: Find the prime factorization of 66983

66983 = 7 x 7 x 1367

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

LCM = 4486454357 = 7 x 7 x 11 x 1367 x 6089

Step 4: Therefore, the least common multiple of 66979 and 66983 is 4486454357.