Least Common Multiple of 67017 and 67025

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

• Least Common Multiple of 67017 and 67025 by Prime method
• Least Common Multiple of 67017 and 67025 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67017 and 67025. First we will calculate the prime factors of 67017 and 67025.

Prime Factorization of 67017

Prime factors of 67017 are 3, 89,251. Prime factorization of 67017 in exponential form is:

67017 = 3¹×89¹×251¹

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 67017 and 67025.

LCM(67017,67025) = 3¹×5²×7¹×89¹×251¹×383¹
LCM(67017,67025) = 4491814425

Factors of 67017

List of positive integer factors of 67017 that divides 67017 without a remainder.

1, 3, 89, 251, 267, 753, 22339, 67017

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 67017 and 67025, than apply into the LCM equation.

GCF(67017,67025) = 1
LCM(67017,67025) = ( 67017 × 67025) / 1
LCM(67017,67025) = 4491814425 / 1
LCM(67017,67025) = 4491814425

(i) The LCM of 67025 and 67017 is associative

LCM of 67017 and 67025 = LCM of 67025 and 67017

1. What is the LCM of 67017 and 67025?

Answer: LCM of 67017 and 67025 is 4491814425.

2. What are the Factors of 67017?

Answer: Factors of 67017 are 1, 3, 89, 251, 267, 753, 22339, 67017. There are 8 integers that are factors of 67017. The greatest factor of 67017 is 67017.

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 67017 and 67025?

Answer:

Least Common Multiple of 67017 and 67025 = 4491814425

Step 1: Find the prime factorization of 67017

67017 = 3 x 89 x 251

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 = 4491814425 = 3 x 5 x 5 x 7 x 89 x 251 x 383

Step 4: Therefore, the least common multiple of 67017 and 67025 is 4491814425.