Least Common Multiple of 67022 and 67027

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

• Least Common Multiple of 67022 and 67027 by Prime method
• Least Common Multiple of 67022 and 67027 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67022 and 67027. First we will calculate the prime factors of 67022 and 67027.

Prime Factorization of 67022

Prime factors of 67022 are 2, 23, 31,47. Prime factorization of 67022 in exponential form is:

67022 = 2¹×23¹×31¹×47¹

Prime Factorization of 67027

Prime factors of 67027 are 97,691. Prime factorization of 67027 in exponential form is:

67027 = 97¹×691¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67022 and 67027.

LCM(67022,67027) = 2¹×23¹×31¹×47¹×97¹×691¹
LCM(67022,67027) = 4492283594

Factors of 67022

List of positive integer factors of 67022 that divides 67022 without a remainder.

1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022

Factors of 67027

List of positive integer factors of 67027 that divides 67027 without a remainder.

1, 97, 691, 67027

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67022 and 67027, than apply into the LCM equation.

GCF(67022,67027) = 1
LCM(67022,67027) = ( 67022 × 67027) / 1
LCM(67022,67027) = 4492283594 / 1
LCM(67022,67027) = 4492283594

(i) The LCM of 67027 and 67022 is associative

LCM of 67022 and 67027 = LCM of 67027 and 67022

1. What is the LCM of 67022 and 67027?

Answer: LCM of 67022 and 67027 is 4492283594.

2. What are the Factors of 67022?

Answer: Factors of 67022 are 1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022. There are 16 integers that are factors of 67022. The greatest factor of 67022 is 67022.

3. What are the Factors of 67027?

Answer: Factors of 67027 are 1, 97, 691, 67027. There are 4 integers that are factors of 67027. The greatest factor of 67027 is 67027.

4. How to Find the LCM of 67022 and 67027?

Answer:

Least Common Multiple of 67022 and 67027 = 4492283594

Step 1: Find the prime factorization of 67022

67022 = 2 x 23 x 31 x 47

Step 2: Find the prime factorization of 67027

67027 = 97 x 691

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

LCM = 4492283594 = 2 x 23 x 31 x 47 x 97 x 691

Step 4: Therefore, the least common multiple of 67022 and 67027 is 4492283594.