Least Common Multiple of 67023 and 67027

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

• Least Common Multiple of 67023 and 67027 by Prime method
• Least Common Multiple of 67023 and 67027 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67023 and 67027. First we will calculate the prime factors of 67023 and 67027.

Prime Factorization of 67023

Prime factors of 67023 are 3, 11,677. Prime factorization of 67023 in exponential form is:

67023 = 3²×11¹×677¹

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 67023 and 67027.

LCM(67023,67027) = 3²×11¹×97¹×677¹×691¹
LCM(67023,67027) = 4492350621

Factors of 67023

List of positive integer factors of 67023 that divides 67023 without a remainder.

1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341, 67023

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 67023 and 67027, than apply into the LCM equation.

GCF(67023,67027) = 1
LCM(67023,67027) = ( 67023 × 67027) / 1
LCM(67023,67027) = 4492350621 / 1
LCM(67023,67027) = 4492350621

(i) The LCM of 67027 and 67023 is associative

LCM of 67023 and 67027 = LCM of 67027 and 67023

1. What is the LCM of 67023 and 67027?

Answer: LCM of 67023 and 67027 is 4492350621.

2. What are the Factors of 67023?

Answer: Factors of 67023 are 1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341, 67023. There are 12 integers that are factors of 67023. The greatest factor of 67023 is 67023.

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 67023 and 67027?

Answer:

Least Common Multiple of 67023 and 67027 = 4492350621

Step 1: Find the prime factorization of 67023

67023 = 3 x 3 x 11 x 677

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 = 4492350621 = 3 x 3 x 11 x 97 x 677 x 691

Step 4: Therefore, the least common multiple of 67023 and 67027 is 4492350621.