Least Common Multiple of 67012 and 67019

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

• Least Common Multiple of 67012 and 67019 by Prime method
• Least Common Multiple of 67012 and 67019 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67012 and 67019. First we will calculate the prime factors of 67012 and 67019.

Prime Factorization of 67012

Prime factors of 67012 are 2, 11,1523. Prime factorization of 67012 in exponential form is:

67012 = 2²×11¹×1523¹

Prime Factorization of 67019

Prime factors of 67019 are 29,2311. Prime factorization of 67019 in exponential form is:

67019 = 29¹×2311¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67012 and 67019.

LCM(67012,67019) = 2²×11¹×29¹×1523¹×2311¹
LCM(67012,67019) = 4491077228

Factors of 67012

List of positive integer factors of 67012 that divides 67012 without a remainder.

1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012

Factors of 67019

List of positive integer factors of 67019 that divides 67019 without a remainder.

1, 29, 2311, 67019

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67012 and 67019, than apply into the LCM equation.

GCF(67012,67019) = 1
LCM(67012,67019) = ( 67012 × 67019) / 1
LCM(67012,67019) = 4491077228 / 1
LCM(67012,67019) = 4491077228

(i) The LCM of 67019 and 67012 is associative

LCM of 67012 and 67019 = LCM of 67019 and 67012

1. What is the LCM of 67012 and 67019?

Answer: LCM of 67012 and 67019 is 4491077228.

2. What are the Factors of 67012?

Answer: Factors of 67012 are 1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012. There are 12 integers that are factors of 67012. The greatest factor of 67012 is 67012.

3. What are the Factors of 67019?

Answer: Factors of 67019 are 1, 29, 2311, 67019. There are 4 integers that are factors of 67019. The greatest factor of 67019 is 67019.

4. How to Find the LCM of 67012 and 67019?

Answer:

Least Common Multiple of 67012 and 67019 = 4491077228

Step 1: Find the prime factorization of 67012

67012 = 2 x 2 x 11 x 1523

Step 2: Find the prime factorization of 67019

67019 = 29 x 2311

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

LCM = 4491077228 = 2 x 2 x 11 x 29 x 1523 x 2311

Step 4: Therefore, the least common multiple of 67012 and 67019 is 4491077228.