Least Common Multiple of 67019 and 67025

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

• Least Common Multiple of 67019 and 67025 by Prime method
• Least Common Multiple of 67019 and 67025 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67019 and 67025. First we will calculate the prime factors of 67019 and 67025.

Prime Factorization of 67019

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

67019 = 29¹×2311¹

Prime Factorization of 67025

Prime factors of 67025 are 5, 7,383. Prime factorization of 67025 in exponential form is:

67025 = 5²×7¹×383¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67019 and 67025.

LCM(67019,67025) = 5²×7¹×29¹×383¹×2311¹
LCM(67019,67025) = 4491948475

Factors of 67019

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

1, 29, 2311, 67019

Factors of 67025

List of positive integer factors of 67025 that divides 67025 without a remainder.

1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67019 and 67025, than apply into the LCM equation.

GCF(67019,67025) = 1
LCM(67019,67025) = ( 67019 × 67025) / 1
LCM(67019,67025) = 4491948475 / 1
LCM(67019,67025) = 4491948475

(i) The LCM of 67025 and 67019 is associative

LCM of 67019 and 67025 = LCM of 67025 and 67019

1. What is the LCM of 67019 and 67025?

Answer: LCM of 67019 and 67025 is 4491948475.

2. 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.

3. What are the Factors of 67025?

Answer: Factors of 67025 are 1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025. There are 12 integers that are factors of 67025. The greatest factor of 67025 is 67025.

4. How to Find the LCM of 67019 and 67025?

Answer:

Least Common Multiple of 67019 and 67025 = 4491948475

Step 1: Find the prime factorization of 67019

67019 = 29 x 2311

Step 2: Find the prime factorization of 67025

67025 = 5 x 5 x 7 x 383

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

LCM = 4491948475 = 5 x 5 x 7 x 29 x 383 x 2311

Step 4: Therefore, the least common multiple of 67019 and 67025 is 4491948475.