Least Common Multiple of 66981 and 66989

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

• Least Common Multiple of 66981 and 66989 by Prime method
• Least Common Multiple of 66981 and 66989 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 66981 and 66989. First we will calculate the prime factors of 66981 and 66989.

Prime Factorization of 66981

Prime factors of 66981 are 3, 83,269. Prime factorization of 66981 in exponential form is:

66981 = 3¹×83¹×269¹

Prime Factorization of 66989

Prime factors of 66989 are 13,5153. Prime factorization of 66989 in exponential form is:

66989 = 13¹×5153¹

Now multiplying the highest exponent prime factors to calculate the LCM of 66981 and 66989.

LCM(66981,66989) = 3¹×13¹×83¹×269¹×5153¹
LCM(66981,66989) = 4486990209

Factors of 66981

List of positive integer factors of 66981 that divides 66981 without a remainder.

1, 3, 83, 249, 269, 807, 22327, 66981

Factors of 66989

List of positive integer factors of 66989 that divides 66989 without a remainder.

1, 13, 5153, 66989

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66981 and 66989, than apply into the LCM equation.

GCF(66981,66989) = 1
LCM(66981,66989) = ( 66981 × 66989) / 1
LCM(66981,66989) = 4486990209 / 1
LCM(66981,66989) = 4486990209

(i) The LCM of 66989 and 66981 is associative

LCM of 66981 and 66989 = LCM of 66989 and 66981

1. What is the LCM of 66981 and 66989?

Answer: LCM of 66981 and 66989 is 4486990209.

2. What are the Factors of 66981?

Answer: Factors of 66981 are 1, 3, 83, 249, 269, 807, 22327, 66981. There are 8 integers that are factors of 66981. The greatest factor of 66981 is 66981.

3. What are the Factors of 66989?

Answer: Factors of 66989 are 1, 13, 5153, 66989. There are 4 integers that are factors of 66989. The greatest factor of 66989 is 66989.

4. How to Find the LCM of 66981 and 66989?

Answer:

Least Common Multiple of 66981 and 66989 = 4486990209

Step 1: Find the prime factorization of 66981

66981 = 3 x 83 x 269

Step 2: Find the prime factorization of 66989

66989 = 13 x 5153

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

LCM = 4486990209 = 3 x 13 x 83 x 269 x 5153

Step 4: Therefore, the least common multiple of 66981 and 66989 is 4486990209.