Least Common Multiple of 67025 and 67029

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

• Least Common Multiple of 67025 and 67029 by Prime method
• Least Common Multiple of 67025 and 67029 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67025 and 67029. First we will calculate the prime factors of 67025 and 67029.

Prime Factorization of 67025

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

67025 = 5²×7¹×383¹

Prime Factorization of 67029

Prime factors of 67029 are 3,22343. Prime factorization of 67029 in exponential form is:

67029 = 3¹×22343¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67025 and 67029.

LCM(67025,67029) = 3¹×5²×7¹×383¹×22343¹
LCM(67025,67029) = 4492618725

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

Factors of 67029

List of positive integer factors of 67029 that divides 67029 without a remainder.

1, 3, 22343, 67029

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67025 and 67029, than apply into the LCM equation.

GCF(67025,67029) = 1
LCM(67025,67029) = ( 67025 × 67029) / 1
LCM(67025,67029) = 4492618725 / 1
LCM(67025,67029) = 4492618725

(i) The LCM of 67029 and 67025 is associative

LCM of 67025 and 67029 = LCM of 67029 and 67025

1. What is the LCM of 67025 and 67029?

Answer: LCM of 67025 and 67029 is 4492618725.

2. 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.

3. What are the Factors of 67029?

Answer: Factors of 67029 are 1, 3, 22343, 67029. There are 4 integers that are factors of 67029. The greatest factor of 67029 is 67029.

4. How to Find the LCM of 67025 and 67029?

Answer:

Least Common Multiple of 67025 and 67029 = 4492618725

Step 1: Find the prime factorization of 67025

67025 = 5 x 5 x 7 x 383

Step 2: Find the prime factorization of 67029

67029 = 3 x 22343

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

LCM = 4492618725 = 3 x 5 x 5 x 7 x 383 x 22343

Step 4: Therefore, the least common multiple of 67025 and 67029 is 4492618725.