Least Common Multiple of 67025 and 67033

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

• Least Common Multiple of 67025 and 67033 by Prime method
• Least Common Multiple of 67025 and 67033 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67025 and 67033. First we will calculate the prime factors of 67025 and 67033.

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 67033

Prime factors of 67033 are 67033. Prime factorization of 67033 in exponential form is:

67033 = 67033¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67025 and 67033.

LCM(67025,67033) = 5²×7¹×383¹×67033¹
LCM(67025,67033) = 4492886825

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 67033

List of positive integer factors of 67033 that divides 67033 without a remainder.

1, 67033

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67025 and 67033, than apply into the LCM equation.

GCF(67025,67033) = 1
LCM(67025,67033) = ( 67025 × 67033) / 1
LCM(67025,67033) = 4492886825 / 1
LCM(67025,67033) = 4492886825

(i) The LCM of 67033 and 67025 is associative

LCM of 67025 and 67033 = LCM of 67033 and 67025

1. What is the LCM of 67025 and 67033?

Answer: LCM of 67025 and 67033 is 4492886825.

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 67033?

Answer: Factors of 67033 are 1, 67033. There are 2 integers that are factors of 67033. The greatest factor of 67033 is 67033.

4. How to Find the LCM of 67025 and 67033?

Answer:

Least Common Multiple of 67025 and 67033 = 4492886825

Step 1: Find the prime factorization of 67025

67025 = 5 x 5 x 7 x 383

Step 2: Find the prime factorization of 67033

67033 = 67033

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

LCM = 4492886825 = 5 x 5 x 7 x 383 x 67033

Step 4: Therefore, the least common multiple of 67025 and 67033 is 4492886825.